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Finding the Fourth Proportional to 408,314.47, 563,459.22 and 224,551.46

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Solution

The fourth proportional to 408,314.47, 563,459.22 and 224,551.46 is: 309,872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,314.47 : 563,459.22 = 224,551.46 : x
  2. Step 2: Convert to fraction form
    408,314.47/563,459.22 = 224,551.46/x
  3. Step 3: Cross multiply
    408,314.47x = 563,459.22 × 224,551.46
  4. Step 4: Simplify right side
    408,314.47x = 126,525,587,684.17
  5. Step 5: Solve for x
    x = 126,525,587,684.17/408,314.47
  6. Step 6: Final answer
    x = 309,872.90

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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.