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Finding the Fourth Proportional to 270,856.56, 406,132.80 and 185,563.72

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Solution

The fourth proportional to 270,856.56, 406,132.80 and 185,563.72 is: 278,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,856.56 : 406,132.80 = 185,563.72 : x
  2. Step 2: Convert to fraction form
    270,856.56/406,132.80 = 185,563.72/x
  3. Step 3: Cross multiply
    270,856.56x = 406,132.80 × 185,563.72
  4. Step 4: Simplify right side
    270,856.56x = 75,363,513,182.02
  5. Step 5: Solve for x
    x = 75,363,513,182.02/270,856.56
  6. Step 6: Final answer
    x = 278,241.42

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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.