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Finding the Fourth Proportional to 367,738.27, 506,305.70 and 313,806.85

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Solution

The fourth proportional to 367,738.27, 506,305.70 and 313,806.85 is: 432,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,738.27 : 506,305.70 = 313,806.85 : x
  2. Step 2: Convert to fraction form
    367,738.27/506,305.70 = 313,806.85/x
  3. Step 3: Cross multiply
    367,738.27x = 506,305.70 × 313,806.85
  4. Step 4: Simplify right side
    367,738.27x = 158,882,196,854.05
  5. Step 5: Solve for x
    x = 158,882,196,854.05/367,738.27
  6. Step 6: Final answer
    x = 432,052.39

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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.