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Finding the Fourth Proportional to 408,476.48, 563,694.32 and 224,711.04

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Solution

The fourth proportional to 408,476.48, 563,694.32 and 224,711.04 is: 310,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,476.48 : 563,694.32 = 224,711.04 : x
  2. Step 2: Convert to fraction form
    408,476.48/563,694.32 = 224,711.04/x
  3. Step 3: Cross multiply
    408,476.48x = 563,694.32 × 224,711.04
  4. Step 4: Simplify right side
    408,476.48x = 126,668,336,889.29
  5. Step 5: Solve for x
    x = 126,668,336,889.29/408,476.48
  6. Step 6: Final answer
    x = 310,099.46

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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.