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Finding the Fourth Proportional to 363,257.78, 501,298.24 and 202,119.62

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Solution

The fourth proportional to 363,257.78, 501,298.24 and 202,119.62 is: 278,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,257.78 : 501,298.24 = 202,119.62 : x
  2. Step 2: Convert to fraction form
    363,257.78/501,298.24 = 202,119.62/x
  3. Step 3: Cross multiply
    363,257.78x = 501,298.24 × 202,119.62
  4. Step 4: Simplify right side
    363,257.78x = 101,322,209,775.47
  5. Step 5: Solve for x
    x = 101,322,209,775.47/363,257.78
  6. Step 6: Final answer
    x = 278,926.47

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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.