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Finding the Fourth Proportional to 408,032.59, 563,082.84 and 224,275.39

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Solution

The fourth proportional to 408,032.59, 563,082.84 and 224,275.39 is: 309,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,032.59 : 563,082.84 = 224,275.39 : x
  2. Step 2: Convert to fraction form
    408,032.59/563,082.84 = 224,275.39/x
  3. Step 3: Cross multiply
    408,032.59x = 563,082.84 × 224,275.39
  4. Step 4: Simplify right side
    408,032.59x = 126,285,623,543.31
  5. Step 5: Solve for x
    x = 126,285,623,543.31/408,032.59
  6. Step 6: Final answer
    x = 309,498.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.