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Finding the Fourth Proportional to 338,065.67, 466,393.89 and 202,021.97

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Solution

The fourth proportional to 338,065.67, 466,393.89 and 202,021.97 is: 278,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,065.67 : 466,393.89 = 202,021.97 : x
  2. Step 2: Convert to fraction form
    338,065.67/466,393.89 = 202,021.97/x
  3. Step 3: Cross multiply
    338,065.67x = 466,393.89 × 202,021.97
  4. Step 4: Simplify right side
    338,065.67x = 94,221,812,453.76
  5. Step 5: Solve for x
    x = 94,221,812,453.76/338,065.67
  6. Step 6: Final answer
    x = 278,708.61

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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.