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Finding the Fourth Proportional to 521,729.70, 782,594.55 and 514,731.30

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Solution

The fourth proportional to 521,729.70, 782,594.55 and 514,731.30 is: 772,096.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,729.70 : 782,594.55 = 514,731.30 : x
  2. Step 2: Convert to fraction form
    521,729.70/782,594.55 = 514,731.30/x
  3. Step 3: Cross multiply
    521,729.70x = 782,594.55 × 514,731.30
  4. Step 4: Simplify right side
    521,729.70x = 402,825,910,094.42
  5. Step 5: Solve for x
    x = 402,825,910,094.42/521,729.70
  6. Step 6: Final answer
    x = 772,096.95

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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.