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Finding the Fourth Proportional to 522,101.40, 783,152.10 and 439,432.80

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Solution

The fourth proportional to 522,101.40, 783,152.10 and 439,432.80 is: 659,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,101.40 : 783,152.10 = 439,432.80 : x
  2. Step 2: Convert to fraction form
    522,101.40/783,152.10 = 439,432.80/x
  3. Step 3: Cross multiply
    522,101.40x = 783,152.10 × 439,432.80
  4. Step 4: Simplify right side
    522,101.40x = 344,142,720,128.88
  5. Step 5: Solve for x
    x = 344,142,720,128.88/522,101.40
  6. Step 6: Final answer
    x = 659,149.20

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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.