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Finding the Fourth Proportional to 331,371.47, 457,292.63 and 180,468.47

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Solution

The fourth proportional to 331,371.47, 457,292.63 and 180,468.47 is: 249,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,371.47 : 457,292.63 = 180,468.47 : x
  2. Step 2: Convert to fraction form
    331,371.47/457,292.63 = 180,468.47/x
  3. Step 3: Cross multiply
    331,371.47x = 457,292.63 × 180,468.47
  4. Step 4: Simplify right side
    331,371.47x = 82,526,898,089.57
  5. Step 5: Solve for x
    x = 82,526,898,089.57/331,371.47
  6. Step 6: Final answer
    x = 249,046.48

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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.