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Finding the Fourth Proportional to 331,394.28, 457,329.42 and 180,491.28

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Solution

The fourth proportional to 331,394.28, 457,329.42 and 180,491.28 is: 249,080.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,394.28 : 457,329.42 = 180,491.28 : x
  2. Step 2: Convert to fraction form
    331,394.28/457,329.42 = 180,491.28/x
  3. Step 3: Cross multiply
    331,394.28x = 457,329.42 × 180,491.28
  4. Step 4: Simplify right side
    331,394.28x = 82,543,972,397.46
  5. Step 5: Solve for x
    x = 82,543,972,397.46/331,394.28
  6. Step 6: Final answer
    x = 249,080.86

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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.