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Finding the Fourth Proportional to 323,130.12, 445,629.24 and 202,282.40

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Solution

The fourth proportional to 323,130.12, 445,629.24 and 202,282.40 is: 278,967.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,130.12 : 445,629.24 = 202,282.40 : x
  2. Step 2: Convert to fraction form
    323,130.12/445,629.24 = 202,282.40/x
  3. Step 3: Cross multiply
    323,130.12x = 445,629.24 × 202,282.40
  4. Step 4: Simplify right side
    323,130.12x = 90,142,952,177.38
  5. Step 5: Solve for x
    x = 90,142,952,177.38/323,130.12
  6. Step 6: Final answer
    x = 278,967.97

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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.