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Finding the Fourth Proportional to 408,435.59, 563,608.45 and 227,147.87

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Solution

The fourth proportional to 408,435.59, 563,608.45 and 227,147.87 is: 313,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,435.59 : 563,608.45 = 227,147.87 : x
  2. Step 2: Convert to fraction form
    408,435.59/563,608.45 = 227,147.87/x
  3. Step 3: Cross multiply
    408,435.59x = 563,608.45 × 227,147.87
  4. Step 4: Simplify right side
    408,435.59x = 128,022,458,931.50
  5. Step 5: Solve for x
    x = 128,022,458,931.50/408,435.59
  6. Step 6: Final answer
    x = 313,445.89

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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.