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Finding the Fourth Proportional to 632,668.16, 948,932.04 and 159,353.48

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Solution

The fourth proportional to 632,668.16, 948,932.04 and 159,353.48 is: 239,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,668.16 : 948,932.04 = 159,353.48 : x
  2. Step 2: Convert to fraction form
    632,668.16/948,932.04 = 159,353.48/x
  3. Step 3: Cross multiply
    632,668.16x = 948,932.04 × 159,353.48
  4. Step 4: Simplify right side
    632,668.16x = 151,215,622,857.50
  5. Step 5: Solve for x
    x = 151,215,622,857.50/632,668.16
  6. Step 6: Final answer
    x = 239,012.54

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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.