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Finding the Fourth Proportional to 408,076.56, 563,132.18 and 224,315.75

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Solution

The fourth proportional to 408,076.56, 563,132.18 and 224,315.75 is: 309,548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,076.56 : 563,132.18 = 224,315.75 : x
  2. Step 2: Convert to fraction form
    408,076.56/563,132.18 = 224,315.75/x
  3. Step 3: Cross multiply
    408,076.56x = 563,132.18 × 224,315.75
  4. Step 4: Simplify right side
    408,076.56x = 126,319,413,368.60
  5. Step 5: Solve for x
    x = 126,319,413,368.60/408,076.56
  6. Step 6: Final answer
    x = 309,548.32

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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.