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Finding the Fourth Proportional to 299,660.29, 413,543.77 and 172,335.99

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Solution

The fourth proportional to 299,660.29, 413,543.77 and 172,335.99 is: 237,830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,660.29 : 413,543.77 = 172,335.99 : x
  2. Step 2: Convert to fraction form
    299,660.29/413,543.77 = 172,335.99/x
  3. Step 3: Cross multiply
    299,660.29x = 413,543.77 × 172,335.99
  4. Step 4: Simplify right side
    299,660.29x = 71,268,473,999.04
  5. Step 5: Solve for x
    x = 71,268,473,999.04/299,660.29
  6. Step 6: Final answer
    x = 237,830.89

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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.