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Finding the Fourth Proportional to 408,282.26, 563,438.66 and 224,509.18

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Solution

The fourth proportional to 408,282.26, 563,438.66 and 224,509.18 is: 309,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,282.26 : 563,438.66 = 224,509.18 : x
  2. Step 2: Convert to fraction form
    408,282.26/563,438.66 = 224,509.18/x
  3. Step 3: Cross multiply
    408,282.26x = 563,438.66 × 224,509.18
  4. Step 4: Simplify right side
    408,282.26x = 126,497,150,689.58
  5. Step 5: Solve for x
    x = 126,497,150,689.58/408,282.26
  6. Step 6: Final answer
    x = 309,827.70

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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.