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Finding the Fourth Proportional to 374,635.52, 517,001.10 and 204,866

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Solution

The fourth proportional to 374,635.52, 517,001.10 and 204,866 is: 282,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,635.52 : 517,001.10 = 204,866 : x
  2. Step 2: Convert to fraction form
    374,635.52/517,001.10 = 204,866/x
  3. Step 3: Cross multiply
    374,635.52x = 517,001.10 × 204,866
  4. Step 4: Simplify right side
    374,635.52x = 105,915,947,352.60
  5. Step 5: Solve for x
    x = 105,915,947,352.60/374,635.52
  6. Step 6: Final answer
    x = 282,717.31

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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.