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Finding the Fourth Proportional to 312,835.96, 431,710.86 and 175,013.38

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Solution

The fourth proportional to 312,835.96, 431,710.86 and 175,013.38 is: 241,516.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,835.96 : 431,710.86 = 175,013.38 : x
  2. Step 2: Convert to fraction form
    312,835.96/431,710.86 = 175,013.38/x
  3. Step 3: Cross multiply
    312,835.96x = 431,710.86 × 175,013.38
  4. Step 4: Simplify right side
    312,835.96x = 75,555,176,791.31
  5. Step 5: Solve for x
    x = 75,555,176,791.31/312,835.96
  6. Step 6: Final answer
    x = 241,516.92

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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.