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Finding the Fourth Proportional to 312,251.70, 468,378.72 and 75,594

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Solution

The fourth proportional to 312,251.70, 468,378.72 and 75,594 is: 113,391.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,251.70 : 468,378.72 = 75,594 : x
  2. Step 2: Convert to fraction form
    312,251.70/468,378.72 = 75,594/x
  3. Step 3: Cross multiply
    312,251.70x = 468,378.72 × 75,594
  4. Step 4: Simplify right side
    312,251.70x = 35,406,620,959.68
  5. Step 5: Solve for x
    x = 35,406,620,959.68/312,251.70
  6. Step 6: Final answer
    x = 113,391.28

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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.