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Finding the Fourth Proportional to 299,905.92, 413,882.73 and 172,582.02

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Solution

The fourth proportional to 299,905.92, 413,882.73 and 172,582.02 is: 238,170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,905.92 : 413,882.73 = 172,582.02 : x
  2. Step 2: Convert to fraction form
    299,905.92/413,882.73 = 172,582.02/x
  3. Step 3: Cross multiply
    299,905.92x = 413,882.73 × 172,582.02
  4. Step 4: Simplify right side
    299,905.92x = 71,428,717,586.51
  5. Step 5: Solve for x
    x = 71,428,717,586.51/299,905.92
  6. Step 6: Final answer
    x = 238,170.42

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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.