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Finding the Fourth Proportional to 270,845.52, 406,116.32 and 185,552.72

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Solution

The fourth proportional to 270,845.52, 406,116.32 and 185,552.72 is: 278,224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,845.52 : 406,116.32 = 185,552.72 : x
  2. Step 2: Convert to fraction form
    270,845.52/406,116.32 = 185,552.72/x
  3. Step 3: Cross multiply
    270,845.52x = 406,116.32 × 185,552.72
  4. Step 4: Simplify right side
    270,845.52x = 75,355,987,812.39
  5. Step 5: Solve for x
    x = 75,355,987,812.39/270,845.52
  6. Step 6: Final answer
    x = 278,224.98

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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.