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Finding the Fourth Proportional to 338,146.65, 466,562.28 and 200,255.94

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Solution

The fourth proportional to 338,146.65, 466,562.28 and 200,255.94 is: 276,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,146.65 : 466,562.28 = 200,255.94 : x
  2. Step 2: Convert to fraction form
    338,146.65/466,562.28 = 200,255.94/x
  3. Step 3: Cross multiply
    338,146.65x = 466,562.28 × 200,255.94
  4. Step 4: Simplify right side
    338,146.65x = 93,431,867,949.94
  5. Step 5: Solve for x
    x = 93,431,867,949.94/338,146.65
  6. Step 6: Final answer
    x = 276,305.76

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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.