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Finding the Fourth Proportional to 276,046.10, 414,069.15 and 181,567.70

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Solution

The fourth proportional to 276,046.10, 414,069.15 and 181,567.70 is: 272,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,046.10 : 414,069.15 = 181,567.70 : x
  2. Step 2: Convert to fraction form
    276,046.10/414,069.15 = 181,567.70/x
  3. Step 3: Cross multiply
    276,046.10x = 414,069.15 × 181,567.70
  4. Step 4: Simplify right side
    276,046.10x = 75,181,583,206.46
  5. Step 5: Solve for x
    x = 75,181,583,206.46/276,046.10
  6. Step 6: Final answer
    x = 272,351.55

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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.