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Finding the Fourth Proportional to 312,242.66, 468,365.22 and 75,584.96

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Solution

The fourth proportional to 312,242.66, 468,365.22 and 75,584.96 is: 113,377.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,242.66 : 468,365.22 = 75,584.96 : x
  2. Step 2: Convert to fraction form
    312,242.66/468,365.22 = 75,584.96/x
  3. Step 3: Cross multiply
    312,242.66x = 468,365.22 × 75,584.96
  4. Step 4: Simplify right side
    312,242.66x = 35,401,366,419.09
  5. Step 5: Solve for x
    x = 35,401,366,419.09/312,242.66
  6. Step 6: Final answer
    x = 113,377.74

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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.