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Finding the Fourth Proportional to 361,584, 542,376 and 112,266

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Solution

The fourth proportional to 361,584, 542,376 and 112,266 is: 168,399

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,584 : 542,376 = 112,266 : x
  2. Step 2: Convert to fraction form
    361,584/542,376 = 112,266/x
  3. Step 3: Cross multiply
    361,584x = 542,376 × 112,266
  4. Step 4: Simplify right side
    361,584x = 60,890,384,016
  5. Step 5: Solve for x
    x = 60,890,384,016/361,584
  6. Step 6: Final answer
    x = 168,399

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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.