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Finding the Fourth Proportional to 312,660.48, 468,986.52 and 76,002.48

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Solution

The fourth proportional to 312,660.48, 468,986.52 and 76,002.48 is: 114,002.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,660.48 : 468,986.52 = 76,002.48 : x
  2. Step 2: Convert to fraction form
    312,660.48/468,986.52 = 76,002.48/x
  3. Step 3: Cross multiply
    312,660.48x = 468,986.52 × 76,002.48
  4. Step 4: Simplify right side
    312,660.48x = 35,644,138,606.57
  5. Step 5: Solve for x
    x = 35,644,138,606.57/312,660.48
  6. Step 6: Final answer
    x = 114,002.70

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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.