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Finding the Fourth Proportional to 408,645.34, 563,916.36 and 224,866.73

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Solution

The fourth proportional to 408,645.34, 563,916.36 and 224,866.73 is: 310,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,645.34 : 563,916.36 = 224,866.73 : x
  2. Step 2: Convert to fraction form
    408,645.34/563,916.36 = 224,866.73/x
  3. Step 3: Cross multiply
    408,645.34x = 563,916.36 × 224,866.73
  4. Step 4: Simplify right side
    408,645.34x = 126,806,027,866.70
  5. Step 5: Solve for x
    x = 126,806,027,866.70/408,645.34
  6. Step 6: Final answer
    x = 310,308.27

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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.