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Finding the Fourth Proportional to 521,712.20, 782,568.30 and 514,713.80

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Solution

The fourth proportional to 521,712.20, 782,568.30 and 514,713.80 is: 772,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,712.20 : 782,568.30 = 514,713.80 : x
  2. Step 2: Convert to fraction form
    521,712.20/782,568.30 = 514,713.80/x
  3. Step 3: Cross multiply
    521,712.20x = 782,568.30 × 514,713.80
  4. Step 4: Simplify right side
    521,712.20x = 402,798,703,452.54
  5. Step 5: Solve for x
    x = 402,798,703,452.54/521,712.20
  6. Step 6: Final answer
    x = 772,070.70

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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.