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Finding the Fourth Proportional to 542,684.59, 814,144.44 and 163,573.61

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Solution

The fourth proportional to 542,684.59, 814,144.44 and 163,573.61 is: 245,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,684.59 : 814,144.44 = 163,573.61 : x
  2. Step 2: Convert to fraction form
    542,684.59/814,144.44 = 163,573.61/x
  3. Step 3: Cross multiply
    542,684.59x = 814,144.44 × 163,573.61
  4. Step 4: Simplify right side
    542,684.59x = 133,172,545,112.23
  5. Step 5: Solve for x
    x = 133,172,545,112.23/542,684.59
  6. Step 6: Final answer
    x = 245,395.85

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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.