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Finding the Fourth Proportional to 519,139.20, 778,708.80 and 282,943.20

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Solution

The fourth proportional to 519,139.20, 778,708.80 and 282,943.20 is: 424,414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,139.20 : 778,708.80 = 282,943.20 : x
  2. Step 2: Convert to fraction form
    519,139.20/778,708.80 = 282,943.20/x
  3. Step 3: Cross multiply
    519,139.20x = 778,708.80 × 282,943.20
  4. Step 4: Simplify right side
    519,139.20x = 220,330,359,740.16
  5. Step 5: Solve for x
    x = 220,330,359,740.16/519,139.20
  6. Step 6: Final answer
    x = 424,414.80

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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.