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Finding the Fourth Proportional to 408,295.95, 563,433.69 and 224,532.97

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Solution

The fourth proportional to 408,295.95, 563,433.69 and 224,532.97 is: 309,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,295.95 : 563,433.69 = 224,532.97 : x
  2. Step 2: Convert to fraction form
    408,295.95/563,433.69 = 224,532.97/x
  3. Step 3: Cross multiply
    408,295.95x = 563,433.69 × 224,532.97
  4. Step 4: Simplify right side
    408,295.95x = 126,509,440,732.49
  5. Step 5: Solve for x
    x = 126,509,440,732.49/408,295.95
  6. Step 6: Final answer
    x = 309,847.40

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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.