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Finding the Fourth Proportional to 313,177.44, 469,764.48 and 76,521.12

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Solution

The fourth proportional to 313,177.44, 469,764.48 and 76,521.12 is: 114,781.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,177.44 : 469,764.48 = 76,521.12 : x
  2. Step 2: Convert to fraction form
    313,177.44/469,764.48 = 76,521.12/x
  3. Step 3: Cross multiply
    313,177.44x = 469,764.48 × 76,521.12
  4. Step 4: Simplify right side
    313,177.44x = 35,946,904,145.82
  5. Step 5: Solve for x
    x = 35,946,904,145.82/313,177.44
  6. Step 6: Final answer
    x = 114,781.27

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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.