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Finding the Fourth Proportional to 312,243.18, 468,365.96 and 75,585.48

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Solution

The fourth proportional to 312,243.18, 468,365.96 and 75,585.48 is: 113,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,243.18 : 468,365.96 = 75,585.48 : x
  2. Step 2: Convert to fraction form
    312,243.18/468,365.96 = 75,585.48/x
  3. Step 3: Cross multiply
    312,243.18x = 468,365.96 × 75,585.48
  4. Step 4: Simplify right side
    312,243.18x = 35,401,665,902.26
  5. Step 5: Solve for x
    x = 35,401,665,902.26/312,243.18
  6. Step 6: Final answer
    x = 113,378.51

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1.5x scale

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.