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Finding the Fourth Proportional to 312,454.92, 431,170.38 and 176,516.76

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Solution

The fourth proportional to 312,454.92, 431,170.38 and 176,516.76 is: 243,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,454.92 : 431,170.38 = 176,516.76 : x
  2. Step 2: Convert to fraction form
    312,454.92/431,170.38 = 176,516.76/x
  3. Step 3: Cross multiply
    312,454.92x = 431,170.38 × 176,516.76
  4. Step 4: Simplify right side
    312,454.92x = 76,108,798,485.57
  5. Step 5: Solve for x
    x = 76,108,798,485.57/312,454.92
  6. Step 6: Final answer
    x = 243,583.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.