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Finding the Fourth Proportional to 522,000.40, 783,000.60 and 457,718.80

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Solution

The fourth proportional to 522,000.40, 783,000.60 and 457,718.80 is: 686,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,000.40 : 783,000.60 = 457,718.80 : x
  2. Step 2: Convert to fraction form
    522,000.40/783,000.60 = 457,718.80/x
  3. Step 3: Cross multiply
    522,000.40x = 783,000.60 × 457,718.80
  4. Step 4: Simplify right side
    522,000.40x = 358,394,095,031.28
  5. Step 5: Solve for x
    x = 358,394,095,031.28/522,000.40
  6. Step 6: Final answer
    x = 686,578.20

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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.