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Finding the Fourth Proportional to 520,005.20, 717,940.68 and 424,740.56

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Solution

The fourth proportional to 520,005.20, 717,940.68 and 424,740.56 is: 586,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,005.20 : 717,940.68 = 424,740.56 : x
  2. Step 2: Convert to fraction form
    520,005.20/717,940.68 = 424,740.56/x
  3. Step 3: Cross multiply
    520,005.20x = 717,940.68 × 424,740.56
  4. Step 4: Simplify right side
    520,005.20x = 304,938,526,469.98
  5. Step 5: Solve for x
    x = 304,938,526,469.98/520,005.20
  6. Step 6: Final answer
    x = 586,414.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.