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Finding the Fourth Proportional to 270,942.22, 406,470.40 and 102,458.82

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Solution

The fourth proportional to 270,942.22, 406,470.40 and 102,458.82 is: 153,709.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,942.22 : 406,470.40 = 102,458.82 : x
  2. Step 2: Convert to fraction form
    270,942.22/406,470.40 = 102,458.82/x
  3. Step 3: Cross multiply
    270,942.22x = 406,470.40 × 102,458.82
  4. Step 4: Simplify right side
    270,942.22x = 41,646,476,276.61
  5. Step 5: Solve for x
    x = 41,646,476,276.61/270,942.22
  6. Step 6: Final answer
    x = 153,709.81

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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.