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Finding the Fourth Proportional to 393,294.56, 542,438.13 and 269,189.09

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Solution

The fourth proportional to 393,294.56, 542,438.13 and 269,189.09 is: 371,269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,294.56 : 542,438.13 = 269,189.09 : x
  2. Step 2: Convert to fraction form
    393,294.56/542,438.13 = 269,189.09/x
  3. Step 3: Cross multiply
    393,294.56x = 542,438.13 × 269,189.09
  4. Step 4: Simplify right side
    393,294.56x = 146,018,423,883.81
  5. Step 5: Solve for x
    x = 146,018,423,883.81/393,294.56
  6. Step 6: Final answer
    x = 371,269.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.