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Finding the Fourth Proportional to 309,407.40, 464,243.40 and 129,534.84

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Solution

The fourth proportional to 309,407.40, 464,243.40 and 129,534.84 is: 194,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,407.40 : 464,243.40 = 129,534.84 : x
  2. Step 2: Convert to fraction form
    309,407.40/464,243.40 = 129,534.84/x
  3. Step 3: Cross multiply
    309,407.40x = 464,243.40 × 129,534.84
  4. Step 4: Simplify right side
    309,407.40x = 60,135,694,540.06
  5. Step 5: Solve for x
    x = 60,135,694,540.06/309,407.40
  6. Step 6: Final answer
    x = 194,357.65

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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.