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Finding the Fourth Proportional to 360,959.17, 497,905.73 and 231,854.18

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Solution

The fourth proportional to 360,959.17, 497,905.73 and 231,854.18 is: 319,818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,959.17 : 497,905.73 = 231,854.18 : x
  2. Step 2: Convert to fraction form
    360,959.17/497,905.73 = 231,854.18/x
  3. Step 3: Cross multiply
    360,959.17x = 497,905.73 × 231,854.18
  4. Step 4: Simplify right side
    360,959.17x = 115,441,524,746.45
  5. Step 5: Solve for x
    x = 115,441,524,746.45/360,959.17
  6. Step 6: Final answer
    x = 319,818.79

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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.