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Finding the Fourth Proportional to 331,468.56, 457,424.24 and 180,565.60

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Solution

The fourth proportional to 331,468.56, 457,424.24 and 180,565.60 is: 249,179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,468.56 : 457,424.24 = 180,565.60 : x
  2. Step 2: Convert to fraction form
    331,468.56/457,424.24 = 180,565.60/x
  3. Step 3: Cross multiply
    331,468.56x = 457,424.24 × 180,565.60
  4. Step 4: Simplify right side
    331,468.56x = 82,595,082,350.14
  5. Step 5: Solve for x
    x = 82,595,082,350.14/331,468.56
  6. Step 6: Final answer
    x = 249,179.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.