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Finding the Fourth Proportional to 274,462.69, 411,834.75 and 132,429.08

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Solution

The fourth proportional to 274,462.69, 411,834.75 and 132,429.08 is: 198,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,462.69 : 411,834.75 = 132,429.08 : x
  2. Step 2: Convert to fraction form
    274,462.69/411,834.75 = 132,429.08/x
  3. Step 3: Cross multiply
    274,462.69x = 411,834.75 × 132,429.08
  4. Step 4: Simplify right side
    274,462.69x = 54,538,897,008.37
  5. Step 5: Solve for x
    x = 54,538,897,008.37/274,462.69
  6. Step 6: Final answer
    x = 198,711.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.