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Finding the Fourth Proportional to 284,662, 392,833.56 and 171,508.24

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Solution

The fourth proportional to 284,662, 392,833.56 and 171,508.24 is: 236,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,662 : 392,833.56 = 171,508.24 : x
  2. Step 2: Convert to fraction form
    284,662/392,833.56 = 171,508.24/x
  3. Step 3: Cross multiply
    284,662x = 392,833.56 × 171,508.24
  4. Step 4: Simplify right side
    284,662x = 67,374,192,488.53
  5. Step 5: Solve for x
    x = 67,374,192,488.53/284,662
  6. Step 6: Final answer
    x = 236,681.37

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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.