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Finding the Fourth Proportional to 299,675.76, 413,565.17 and 172,351.50

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Solution

The fourth proportional to 299,675.76, 413,565.17 and 172,351.50 is: 237,852.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,675.76 : 413,565.17 = 172,351.50 : x
  2. Step 2: Convert to fraction form
    299,675.76/413,565.17 = 172,351.50/x
  3. Step 3: Cross multiply
    299,675.76x = 413,565.17 × 172,351.50
  4. Step 4: Simplify right side
    299,675.76x = 71,278,576,535.50
  5. Step 5: Solve for x
    x = 71,278,576,535.50/299,675.76
  6. Step 6: Final answer
    x = 237,852.33

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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.