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Finding the Fourth Proportional to 331,866.86, 457,975.42 and 180,963.86

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Solution

The fourth proportional to 331,866.86, 457,975.42 and 180,963.86 is: 249,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,866.86 : 457,975.42 = 180,963.86 : x
  2. Step 2: Convert to fraction form
    331,866.86/457,975.42 = 180,963.86/x
  3. Step 3: Cross multiply
    331,866.86x = 457,975.42 × 180,963.86
  4. Step 4: Simplify right side
    331,866.86x = 82,876,997,046.03
  5. Step 5: Solve for x
    x = 82,876,997,046.03/331,866.86
  6. Step 6: Final answer
    x = 249,729.66

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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.