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Finding the Fourth Proportional to 664,497.10, 997,729.80 and 514,906.30

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Solution

The fourth proportional to 664,497.10, 997,729.80 and 514,906.30 is: 773,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,497.10 : 997,729.80 = 514,906.30 : x
  2. Step 2: Convert to fraction form
    664,497.10/997,729.80 = 514,906.30/x
  3. Step 3: Cross multiply
    664,497.10x = 997,729.80 × 514,906.30
  4. Step 4: Simplify right side
    664,497.10x = 513,737,359,717.74
  5. Step 5: Solve for x
    x = 513,737,359,717.74/664,497.10
  6. Step 6: Final answer
    x = 773,122.05

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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.