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Finding the Fourth Proportional to 299,683.50, 413,575.11 and 172,358.94

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Solution

The fourth proportional to 299,683.50, 413,575.11 and 172,358.94 is: 237,862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,683.50 : 413,575.11 = 172,358.94 : x
  2. Step 2: Convert to fraction form
    299,683.50/413,575.11 = 172,358.94/x
  3. Step 3: Cross multiply
    299,683.50x = 413,575.11 × 172,358.94
  4. Step 4: Simplify right side
    299,683.50x = 71,283,367,569.98
  5. Step 5: Solve for x
    x = 71,283,367,569.98/299,683.50
  6. Step 6: Final answer
    x = 237,862.17

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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.