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Finding the Fourth Proportional to 270,687.98, 406,000.77 and 71,023.94

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Solution

The fourth proportional to 270,687.98, 406,000.77 and 71,023.94 is: 106,527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,687.98 : 406,000.77 = 71,023.94 : x
  2. Step 2: Convert to fraction form
    270,687.98/406,000.77 = 71,023.94/x
  3. Step 3: Cross multiply
    270,687.98x = 406,000.77 × 71,023.94
  4. Step 4: Simplify right side
    270,687.98x = 28,835,772,819.31
  5. Step 5: Solve for x
    x = 28,835,772,819.31/270,687.98
  6. Step 6: Final answer
    x = 106,527.72

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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.