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Finding the Fourth Proportional to 529,245.90, 730,306.64 and 299,757.38

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Solution

The fourth proportional to 529,245.90, 730,306.64 and 299,757.38 is: 413,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,245.90 : 730,306.64 = 299,757.38 : x
  2. Step 2: Convert to fraction form
    529,245.90/730,306.64 = 299,757.38/x
  3. Step 3: Cross multiply
    529,245.90x = 730,306.64 × 299,757.38
  4. Step 4: Simplify right side
    529,245.90x = 218,914,805,003.00
  5. Step 5: Solve for x
    x = 218,914,805,003.00/529,245.90
  6. Step 6: Final answer
    x = 413,635.33

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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.