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Finding the Fourth Proportional to 522,059.40, 783,089.10 and 457,777.80

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Solution

The fourth proportional to 522,059.40, 783,089.10 and 457,777.80 is: 686,666.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,059.40 : 783,089.10 = 457,777.80 : x
  2. Step 2: Convert to fraction form
    522,059.40/783,089.10 = 457,777.80/x
  3. Step 3: Cross multiply
    522,059.40x = 783,089.10 × 457,777.80
  4. Step 4: Simplify right side
    522,059.40x = 358,480,805,401.98
  5. Step 5: Solve for x
    x = 358,480,805,401.98/522,059.40
  6. Step 6: Final answer
    x = 686,666.70

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.