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Finding the Fourth Proportional to 312,195.12, 430,536.82 and 207,233.38

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Solution

The fourth proportional to 312,195.12, 430,536.82 and 207,233.38 is: 285,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,195.12 : 430,536.82 = 207,233.38 : x
  2. Step 2: Convert to fraction form
    312,195.12/430,536.82 = 207,233.38/x
  3. Step 3: Cross multiply
    312,195.12x = 430,536.82 × 207,233.38
  4. Step 4: Simplify right side
    312,195.12x = 89,221,600,423.05
  5. Step 5: Solve for x
    x = 89,221,600,423.05/312,195.12
  6. Step 6: Final answer
    x = 285,787.94

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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.