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Finding the Fourth Proportional to 532,791, 735,251.58 and 294,327

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Solution

The fourth proportional to 532,791, 735,251.58 and 294,327 is: 406,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,791 : 735,251.58 = 294,327 : x
  2. Step 2: Convert to fraction form
    532,791/735,251.58 = 294,327/x
  3. Step 3: Cross multiply
    532,791x = 735,251.58 × 294,327
  4. Step 4: Simplify right side
    532,791x = 216,404,391,786.66
  5. Step 5: Solve for x
    x = 216,404,391,786.66/532,791
  6. Step 6: Final answer
    x = 406,171.26

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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.