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Finding the Fourth Proportional to 408,646.34, 563,917.74 and 224,867.73

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Solution

The fourth proportional to 408,646.34, 563,917.74 and 224,867.73 is: 310,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,646.34 : 563,917.74 = 224,867.73 : x
  2. Step 2: Convert to fraction form
    408,646.34/563,917.74 = 224,867.73/x
  3. Step 3: Cross multiply
    408,646.34x = 563,917.74 × 224,867.73
  4. Step 4: Simplify right side
    408,646.34x = 126,806,902,100.53
  5. Step 5: Solve for x
    x = 126,806,902,100.53/408,646.34
  6. Step 6: Final answer
    x = 310,309.65

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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.