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Finding the Fourth Proportional to 312,400.38, 468,487.58 and 112,667.14

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Solution

The fourth proportional to 312,400.38, 468,487.58 and 112,667.14 is: 168,959.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,400.38 : 468,487.58 = 112,667.14 : x
  2. Step 2: Convert to fraction form
    312,400.38/468,487.58 = 112,667.14/x
  3. Step 3: Cross multiply
    312,400.38x = 468,487.58 × 112,667.14
  4. Step 4: Simplify right side
    312,400.38x = 52,783,155,764.12
  5. Step 5: Solve for x
    x = 52,783,155,764.12/312,400.38
  6. Step 6: Final answer
    x = 168,959.96

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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.