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Finding the Fourth Proportional to 338,380.88, 466,921.13 and 202,365.14

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Solution

The fourth proportional to 338,380.88, 466,921.13 and 202,365.14 is: 279,237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,380.88 : 466,921.13 = 202,365.14 : x
  2. Step 2: Convert to fraction form
    338,380.88/466,921.13 = 202,365.14/x
  3. Step 3: Cross multiply
    338,380.88x = 466,921.13 × 202,365.14
  4. Step 4: Simplify right side
    338,380.88x = 94,488,556,494.98
  5. Step 5: Solve for x
    x = 94,488,556,494.98/338,380.88
  6. Step 6: Final answer
    x = 279,237.28

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1.5x scale

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.