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Finding the Fourth Proportional to 408,220.35, 563,358.54 and 224,472.92

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Solution

The fourth proportional to 408,220.35, 563,358.54 and 224,472.92 is: 309,780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,220.35 : 563,358.54 = 224,472.92 : x
  2. Step 2: Convert to fraction form
    408,220.35/563,358.54 = 224,472.92/x
  3. Step 3: Cross multiply
    408,220.35x = 563,358.54 × 224,472.92
  4. Step 4: Simplify right side
    408,220.35x = 126,458,733,663.94
  5. Step 5: Solve for x
    x = 126,458,733,663.94/408,220.35
  6. Step 6: Final answer
    x = 309,780.57

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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.