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Finding the Fourth Proportional to 408,375.24, 612,563.58 and 159,057.24

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Solution

The fourth proportional to 408,375.24, 612,563.58 and 159,057.24 is: 238,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,375.24 : 612,563.58 = 159,057.24 : x
  2. Step 2: Convert to fraction form
    408,375.24/612,563.58 = 159,057.24/x
  3. Step 3: Cross multiply
    408,375.24x = 612,563.58 × 159,057.24
  4. Step 4: Simplify right side
    408,375.24x = 97,432,672,359.32
  5. Step 5: Solve for x
    x = 97,432,672,359.32/408,375.24
  6. Step 6: Final answer
    x = 238,586.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.