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Finding the Fourth Proportional to 331,565.72, 457,560.70 and 180,662.72

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Solution

The fourth proportional to 331,565.72, 457,560.70 and 180,662.72 is: 249,314.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,565.72 : 457,560.70 = 180,662.72 : x
  2. Step 2: Convert to fraction form
    331,565.72/457,560.70 = 180,662.72/x
  3. Step 3: Cross multiply
    331,565.72x = 457,560.70 × 180,662.72
  4. Step 4: Simplify right side
    331,565.72x = 82,664,160,627.10
  5. Step 5: Solve for x
    x = 82,664,160,627.10/331,565.72
  6. Step 6: Final answer
    x = 249,314.56

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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.