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Finding the Fourth Proportional to 408,661.47, 563,938.58 and 224,882.87

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Solution

The fourth proportional to 408,661.47, 563,938.58 and 224,882.87 is: 310,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,661.47 : 563,938.58 = 224,882.87 : x
  2. Step 2: Convert to fraction form
    408,661.47/563,938.58 = 224,882.87/x
  3. Step 3: Cross multiply
    408,661.47x = 563,938.58 × 224,882.87
  4. Step 4: Simplify right side
    408,661.47x = 126,820,124,116.64
  5. Step 5: Solve for x
    x = 126,820,124,116.64/408,661.47
  6. Step 6: Final answer
    x = 310,330.51

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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.