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Finding the Fourth Proportional to 331,565.64, 457,560.63 and 180,662.64

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Solution

The fourth proportional to 331,565.64, 457,560.63 and 180,662.64 is: 249,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,565.64 : 457,560.63 = 180,662.64 : x
  2. Step 2: Convert to fraction form
    331,565.64/457,560.63 = 180,662.64/x
  3. Step 3: Cross multiply
    331,565.64x = 457,560.63 × 180,662.64
  4. Step 4: Simplify right side
    331,565.64x = 82,664,111,375.86
  5. Step 5: Solve for x
    x = 82,664,111,375.86/331,565.64
  6. Step 6: Final answer
    x = 249,314.47

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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.