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Finding the Fourth Proportional to 365,704.40, 548,359.37 and 165,915.78

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Solution

The fourth proportional to 365,704.40, 548,359.37 and 165,915.78 is: 248,784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,704.40 : 548,359.37 = 165,915.78 : x
  2. Step 2: Convert to fraction form
    365,704.40/548,359.37 = 165,915.78/x
  3. Step 3: Cross multiply
    365,704.40x = 548,359.37 × 165,915.78
  4. Step 4: Simplify right side
    365,704.40x = 90,981,471,764.28
  5. Step 5: Solve for x
    x = 90,981,471,764.28/365,704.40
  6. Step 6: Final answer
    x = 248,784.19

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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.