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Finding the Fourth Proportional to 270,811.76, 406,272.31 and 186,612.26

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Solution

The fourth proportional to 270,811.76, 406,272.31 and 186,612.26 is: 279,956.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,811.76 : 406,272.31 = 186,612.26 : x
  2. Step 2: Convert to fraction form
    270,811.76/406,272.31 = 186,612.26/x
  3. Step 3: Cross multiply
    270,811.76x = 406,272.31 × 186,612.26
  4. Step 4: Simplify right side
    270,811.76x = 75,815,391,446.63
  5. Step 5: Solve for x
    x = 75,815,391,446.63/270,811.76
  6. Step 6: Final answer
    x = 279,956.06

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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.