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Finding the Fourth Proportional to 331,730.88, 457,788.62 and 180,827.88

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Solution

The fourth proportional to 331,730.88, 457,788.62 and 180,827.88 is: 249,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,730.88 : 457,788.62 = 180,827.88 : x
  2. Step 2: Convert to fraction form
    331,730.88/457,788.62 = 180,827.88/x
  3. Step 3: Cross multiply
    331,730.88x = 457,788.62 × 180,827.88
  4. Step 4: Simplify right side
    331,730.88x = 82,780,944,738.59
  5. Step 5: Solve for x
    x = 82,780,944,738.59/331,730.88
  6. Step 6: Final answer
    x = 249,542.47

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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.