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Finding the Fourth Proportional to 360,915.48, 541,370.79 and 282,096

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Solution

The fourth proportional to 360,915.48, 541,370.79 and 282,096 is: 423,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,915.48 : 541,370.79 = 282,096 : x
  2. Step 2: Convert to fraction form
    360,915.48/541,370.79 = 282,096/x
  3. Step 3: Cross multiply
    360,915.48x = 541,370.79 × 282,096
  4. Step 4: Simplify right side
    360,915.48x = 152,718,534,375.84
  5. Step 5: Solve for x
    x = 152,718,534,375.84/360,915.48
  6. Step 6: Final answer
    x = 423,142.10

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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.