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Finding the Fourth Proportional to 384,842.32, 577,357.44 and 271,211.80

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Solution

The fourth proportional to 384,842.32, 577,357.44 and 271,211.80 is: 406,883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,842.32 : 577,357.44 = 271,211.80 : x
  2. Step 2: Convert to fraction form
    384,842.32/577,357.44 = 271,211.80/x
  3. Step 3: Cross multiply
    384,842.32x = 577,357.44 × 271,211.80
  4. Step 4: Simplify right side
    384,842.32x = 156,586,150,545.79
  5. Step 5: Solve for x
    x = 156,586,150,545.79/384,842.32
  6. Step 6: Final answer
    x = 406,883.92

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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.