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Finding the Fourth Proportional to 542,084.88, 813,236.40 and 187,112.64

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Solution

The fourth proportional to 542,084.88, 813,236.40 and 187,112.64 is: 280,706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,084.88 : 813,236.40 = 187,112.64 : x
  2. Step 2: Convert to fraction form
    542,084.88/813,236.40 = 187,112.64/x
  3. Step 3: Cross multiply
    542,084.88x = 813,236.40 × 187,112.64
  4. Step 4: Simplify right side
    542,084.88x = 152,166,809,748.10
  5. Step 5: Solve for x
    x = 152,166,809,748.10/542,084.88
  6. Step 6: Final answer
    x = 280,706.61

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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.