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Finding the Fourth Proportional to 299,683, 413,574.42 and 172,358.44

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Solution

The fourth proportional to 299,683, 413,574.42 and 172,358.44 is: 237,861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,683 : 413,574.42 = 172,358.44 : x
  2. Step 2: Convert to fraction form
    299,683/413,574.42 = 172,358.44/x
  3. Step 3: Cross multiply
    299,683x = 413,574.42 × 172,358.44
  4. Step 4: Simplify right side
    299,683x = 71,283,041,855.10
  5. Step 5: Solve for x
    x = 71,283,041,855.10/299,683
  6. Step 6: Final answer
    x = 237,861.48

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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.