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Finding the Fourth Proportional to 269,143.68, 404,072.64 and 229,952.64

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Solution

The fourth proportional to 269,143.68, 404,072.64 and 229,952.64 is: 345,234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,143.68 : 404,072.64 = 229,952.64 : x
  2. Step 2: Convert to fraction form
    269,143.68/404,072.64 = 229,952.64/x
  3. Step 3: Cross multiply
    269,143.68x = 404,072.64 × 229,952.64
  4. Step 4: Simplify right side
    269,143.68x = 92,917,570,319.77
  5. Step 5: Solve for x
    x = 92,917,570,319.77/269,143.68
  6. Step 6: Final answer
    x = 345,234.08

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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.