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Finding the Fourth Proportional to 542,203.31, 813,528.28 and 238,441.31

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Solution

The fourth proportional to 542,203.31, 813,528.28 and 238,441.31 is: 357,760.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,203.31 : 813,528.28 = 238,441.31 : x
  2. Step 2: Convert to fraction form
    542,203.31/813,528.28 = 238,441.31/x
  3. Step 3: Cross multiply
    542,203.31x = 813,528.28 × 238,441.31
  4. Step 4: Simplify right side
    542,203.31x = 193,978,748,805.25
  5. Step 5: Solve for x
    x = 193,978,748,805.25/542,203.31
  6. Step 6: Final answer
    x = 357,760.17

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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.