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Finding the Fourth Proportional to 408,460.59, 563,672.48 and 224,695.20

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Solution

The fourth proportional to 408,460.59, 563,672.48 and 224,695.20 is: 310,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,460.59 : 563,672.48 = 224,695.20 : x
  2. Step 2: Convert to fraction form
    408,460.59/563,672.48 = 224,695.20/x
  3. Step 3: Cross multiply
    408,460.59x = 563,672.48 × 224,695.20
  4. Step 4: Simplify right side
    408,460.59x = 126,654,501,189.83
  5. Step 5: Solve for x
    x = 126,654,501,189.83/408,460.59
  6. Step 6: Final answer
    x = 310,077.65

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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.