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Finding the Fourth Proportional to 408,024.50, 563,078.90 and 224,283.12

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Solution

The fourth proportional to 408,024.50, 563,078.90 and 224,283.12 is: 309,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,024.50 : 563,078.90 = 224,283.12 : x
  2. Step 2: Convert to fraction form
    408,024.50/563,078.90 = 224,283.12/x
  3. Step 3: Cross multiply
    408,024.50x = 563,078.90 × 224,283.12
  4. Step 4: Simplify right side
    408,024.50x = 126,289,091,376.75
  5. Step 5: Solve for x
    x = 126,289,091,376.75/408,024.50
  6. Step 6: Final answer
    x = 309,513.50

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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.