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Finding the Fourth Proportional to 278,964.76, 418,423.38 and 110,439.25

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Solution

The fourth proportional to 278,964.76, 418,423.38 and 110,439.25 is: 165,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,964.76 : 418,423.38 = 110,439.25 : x
  2. Step 2: Convert to fraction form
    278,964.76/418,423.38 = 110,439.25/x
  3. Step 3: Cross multiply
    278,964.76x = 418,423.38 × 110,439.25
  4. Step 4: Simplify right side
    278,964.76x = 46,210,364,269.67
  5. Step 5: Solve for x
    x = 46,210,364,269.67/278,964.76
  6. Step 6: Final answer
    x = 165,649.47

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