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Finding the Fourth Proportional to 312,366.46, 468,549.68 and 75,709.14

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Solution

The fourth proportional to 312,366.46, 468,549.68 and 75,709.14 is: 113,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,366.46 : 468,549.68 = 75,709.14 : x
  2. Step 2: Convert to fraction form
    312,366.46/468,549.68 = 75,709.14/x
  3. Step 3: Cross multiply
    312,366.46x = 468,549.68 × 75,709.14
  4. Step 4: Simplify right side
    312,366.46x = 35,473,493,320.08
  5. Step 5: Solve for x
    x = 35,473,493,320.08/312,366.46
  6. Step 6: Final answer
    x = 113,563.71

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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.