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Finding the Fourth Proportional to 387,082.56, 580,474.56 and 150,394.08

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Solution

The fourth proportional to 387,082.56, 580,474.56 and 150,394.08 is: 225,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,082.56 : 580,474.56 = 150,394.08 : x
  2. Step 2: Convert to fraction form
    387,082.56/580,474.56 = 150,394.08/x
  3. Step 3: Cross multiply
    387,082.56x = 580,474.56 × 150,394.08
  4. Step 4: Simplify right side
    387,082.56x = 87,299,937,414.60
  5. Step 5: Solve for x
    x = 87,299,937,414.60/387,082.56
  6. Step 6: Final answer
    x = 225,533.12

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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.