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Finding the Fourth Proportional to 338,379.48, 466,963.65 and 202,419.14

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Solution

The fourth proportional to 338,379.48, 466,963.65 and 202,419.14 is: 279,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,379.48 : 466,963.65 = 202,419.14 : x
  2. Step 2: Convert to fraction form
    338,379.48/466,963.65 = 202,419.14/x
  3. Step 3: Cross multiply
    338,379.48x = 466,963.65 × 202,419.14
  4. Step 4: Simplify right side
    338,379.48x = 94,522,378,109.44
  5. Step 5: Solve for x
    x = 94,522,378,109.44/338,379.48
  6. Step 6: Final answer
    x = 279,338.39

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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.