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Finding the Fourth Proportional to 360,915.98, 541,371.54 and 282,096.50

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Solution

The fourth proportional to 360,915.98, 541,371.54 and 282,096.50 is: 423,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,915.98 : 541,371.54 = 282,096.50 : x
  2. Step 2: Convert to fraction form
    360,915.98/541,371.54 = 282,096.50/x
  3. Step 3: Cross multiply
    360,915.98x = 541,371.54 × 282,096.50
  4. Step 4: Simplify right side
    360,915.98x = 152,719,016,633.61
  5. Step 5: Solve for x
    x = 152,719,016,633.61/360,915.98
  6. Step 6: Final answer
    x = 423,142.85

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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.