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Finding the Fourth Proportional to 284,550.32, 426,484.56 and 132,542.48

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Solution

The fourth proportional to 284,550.32, 426,484.56 and 132,542.48 is: 198,654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,550.32 : 426,484.56 = 132,542.48 : x
  2. Step 2: Convert to fraction form
    284,550.32/426,484.56 = 132,542.48/x
  3. Step 3: Cross multiply
    284,550.32x = 426,484.56 × 132,542.48
  4. Step 4: Simplify right side
    284,550.32x = 56,527,321,264.11
  5. Step 5: Solve for x
    x = 56,527,321,264.11/284,550.32
  6. Step 6: Final answer
    x = 198,654.92

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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.