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Finding the Fourth Proportional to 542,301.36, 813,675 and 238,539.12

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Solution

The fourth proportional to 542,301.36, 813,675 and 238,539.12 is: 357,906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,301.36 : 813,675 = 238,539.12 : x
  2. Step 2: Convert to fraction form
    542,301.36/813,675 = 238,539.12/x
  3. Step 3: Cross multiply
    542,301.36x = 813,675 × 238,539.12
  4. Step 4: Simplify right side
    542,301.36x = 194,093,318,466
  5. Step 5: Solve for x
    x = 194,093,318,466/542,301.36
  6. Step 6: Final answer
    x = 357,906.75

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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.