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Finding the Fourth Proportional to 408,179.79, 563,294.85 and 224,426.12

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Solution

The fourth proportional to 408,179.79, 563,294.85 and 224,426.12 is: 309,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,179.79 : 563,294.85 = 224,426.12 : x
  2. Step 2: Convert to fraction form
    408,179.79/563,294.85 = 224,426.12/x
  3. Step 3: Cross multiply
    408,179.79x = 563,294.85 × 224,426.12
  4. Step 4: Simplify right side
    408,179.79x = 126,418,079,009.72
  5. Step 5: Solve for x
    x = 126,418,079,009.72/408,179.79
  6. Step 6: Final answer
    x = 309,711.75

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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.