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Finding the Fourth Proportional to 341,463.38, 512,074.81 and 113,697.16

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Solution

The fourth proportional to 341,463.38, 512,074.81 and 113,697.16 is: 170,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,463.38 : 512,074.81 = 113,697.16 : x
  2. Step 2: Convert to fraction form
    341,463.38/512,074.81 = 113,697.16/x
  3. Step 3: Cross multiply
    341,463.38x = 512,074.81 × 113,697.16
  4. Step 4: Simplify right side
    341,463.38x = 58,221,451,604.54
  5. Step 5: Solve for x
    x = 58,221,451,604.54/341,463.38
  6. Step 6: Final answer
    x = 170,505.70

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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.