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Finding the Fourth Proportional to 361,863.80, 542,642.10 and 174,932.60

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Solution

The fourth proportional to 361,863.80, 542,642.10 and 174,932.60 is: 262,324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,863.80 : 542,642.10 = 174,932.60 : x
  2. Step 2: Convert to fraction form
    361,863.80/542,642.10 = 174,932.60/x
  3. Step 3: Cross multiply
    361,863.80x = 542,642.10 × 174,932.60
  4. Step 4: Simplify right side
    361,863.80x = 94,925,793,422.46
  5. Step 5: Solve for x
    x = 94,925,793,422.46/361,863.80
  6. Step 6: Final answer
    x = 262,324.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.