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Finding the Fourth Proportional to 408,452.96, 563,581.76 and 238,654.24

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Solution

The fourth proportional to 408,452.96, 563,581.76 and 238,654.24 is: 329,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,452.96 : 563,581.76 = 238,654.24 : x
  2. Step 2: Convert to fraction form
    408,452.96/563,581.76 = 238,654.24/x
  3. Step 3: Cross multiply
    408,452.96x = 563,581.76 × 238,654.24
  4. Step 4: Simplify right side
    408,452.96x = 134,501,176,610.66
  5. Step 5: Solve for x
    x = 134,501,176,610.66/408,452.96
  6. Step 6: Final answer
    x = 329,294.17

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1.5x scale

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.