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Finding the Fourth Proportional to 331,658.46, 457,688.64 and 180,755.46

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Solution

The fourth proportional to 331,658.46, 457,688.64 and 180,755.46 is: 249,442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,658.46 : 457,688.64 = 180,755.46 : x
  2. Step 2: Convert to fraction form
    331,658.46/457,688.64 = 180,755.46/x
  3. Step 3: Cross multiply
    331,658.46x = 457,688.64 × 180,755.46
  4. Step 4: Simplify right side
    331,658.46x = 82,729,720,659.97
  5. Step 5: Solve for x
    x = 82,729,720,659.97/331,658.46
  6. Step 6: Final answer
    x = 249,442.52

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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.