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Finding the Fourth Proportional to 313,242.32, 469,859.28 and 76,587.04

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Solution

The fourth proportional to 313,242.32, 469,859.28 and 76,587.04 is: 114,879.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,242.32 : 469,859.28 = 76,587.04 : x
  2. Step 2: Convert to fraction form
    313,242.32/469,859.28 = 76,587.04/x
  3. Step 3: Cross multiply
    313,242.32x = 469,859.28 × 76,587.04
  4. Step 4: Simplify right side
    313,242.32x = 35,985,131,471.73
  5. Step 5: Solve for x
    x = 35,985,131,471.73/313,242.32
  6. Step 6: Final answer
    x = 114,879.53

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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.