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Finding the Fourth Proportional to 278,833.56, 418,013.88 and 110,472.84

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Solution

The fourth proportional to 278,833.56, 418,013.88 and 110,472.84 is: 165,615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,833.56 : 418,013.88 = 110,472.84 : x
  2. Step 2: Convert to fraction form
    278,833.56/418,013.88 = 110,472.84/x
  3. Step 3: Cross multiply
    278,833.56x = 418,013.88 × 110,472.84
  4. Step 4: Simplify right side
    278,833.56x = 46,179,180,483.02
  5. Step 5: Solve for x
    x = 46,179,180,483.02/278,833.56
  6. Step 6: Final answer
    x = 165,615.58

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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.