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Finding the Fourth Proportional to 532,914.97, 797,940 and 405,950.38

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Solution

The fourth proportional to 532,914.97, 797,940 and 405,950.38 is: 607,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,914.97 : 797,940 = 405,950.38 : x
  2. Step 2: Convert to fraction form
    532,914.97/797,940 = 405,950.38/x
  3. Step 3: Cross multiply
    532,914.97x = 797,940 × 405,950.38
  4. Step 4: Simplify right side
    532,914.97x = 323,924,046,217.20
  5. Step 5: Solve for x
    x = 323,924,046,217.20/532,914.97
  6. Step 6: Final answer
    x = 607,834.39

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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.