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Finding the Fourth Proportional to 331,868.86, 457,978.18 and 180,965.86

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Solution

The fourth proportional to 331,868.86, 457,978.18 and 180,965.86 is: 249,732.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,868.86 : 457,978.18 = 180,965.86 : x
  2. Step 2: Convert to fraction form
    331,868.86/457,978.18 = 180,965.86/x
  3. Step 3: Cross multiply
    331,868.86x = 457,978.18 × 180,965.86
  4. Step 4: Simplify right side
    331,868.86x = 82,878,415,204.93
  5. Step 5: Solve for x
    x = 82,878,415,204.93/331,868.86
  6. Step 6: Final answer
    x = 249,732.43

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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.