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Finding the Fourth Proportional to 312,475.14, 468,713.34 and 112,936.44

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Solution

The fourth proportional to 312,475.14, 468,713.34 and 112,936.44 is: 169,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,475.14 : 468,713.34 = 112,936.44 : x
  2. Step 2: Convert to fraction form
    312,475.14/468,713.34 = 112,936.44/x
  3. Step 3: Cross multiply
    312,475.14x = 468,713.34 × 112,936.44
  4. Step 4: Simplify right side
    312,475.14x = 52,934,816,000.11
  5. Step 5: Solve for x
    x = 52,934,816,000.11/312,475.14
  6. Step 6: Final answer
    x = 169,404.89

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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.