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Finding the Fourth Proportional to 299,666.48, 413,552.32 and 172,342.18

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Solution

The fourth proportional to 299,666.48, 413,552.32 and 172,342.18 is: 237,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,666.48 : 413,552.32 = 172,342.18 : x
  2. Step 2: Convert to fraction form
    299,666.48/413,552.32 = 172,342.18/x
  3. Step 3: Cross multiply
    299,666.48x = 413,552.32 × 172,342.18
  4. Step 4: Simplify right side
    299,666.48x = 71,272,508,372.86
  5. Step 5: Solve for x
    x = 71,272,508,372.86/299,666.48
  6. Step 6: Final answer
    x = 237,839.44

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