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Finding the Fourth Proportional to 270,780.30, 406,429.65 and 231,381.90

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Solution

The fourth proportional to 270,780.30, 406,429.65 and 231,381.90 is: 347,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,780.30 : 406,429.65 = 231,381.90 : x
  2. Step 2: Convert to fraction form
    270,780.30/406,429.65 = 231,381.90/x
  3. Step 3: Cross multiply
    270,780.30x = 406,429.65 × 231,381.90
  4. Step 4: Simplify right side
    270,780.30x = 94,040,464,633.34
  5. Step 5: Solve for x
    x = 94,040,464,633.34/270,780.30
  6. Step 6: Final answer
    x = 347,294.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.