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Finding the Fourth Proportional to 312,253.70, 468,381.72 and 75,596

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Solution

The fourth proportional to 312,253.70, 468,381.72 and 75,596 is: 113,394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,253.70 : 468,381.72 = 75,596 : x
  2. Step 2: Convert to fraction form
    312,253.70/468,381.72 = 75,596/x
  3. Step 3: Cross multiply
    312,253.70x = 468,381.72 × 75,596
  4. Step 4: Simplify right side
    312,253.70x = 35,407,784,505.12
  5. Step 5: Solve for x
    x = 35,407,784,505.12/312,253.70
  6. Step 6: Final answer
    x = 113,394.28

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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.