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Finding the Fourth Proportional to 454,882.60, 682,712.70 and 202,551.40

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Solution

The fourth proportional to 454,882.60, 682,712.70 and 202,551.40 is: 304,000.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,882.60 : 682,712.70 = 202,551.40 : x
  2. Step 2: Convert to fraction form
    454,882.60/682,712.70 = 202,551.40/x
  3. Step 3: Cross multiply
    454,882.60x = 682,712.70 × 202,551.40
  4. Step 4: Simplify right side
    454,882.60x = 138,284,413,182.78
  5. Step 5: Solve for x
    x = 138,284,413,182.78/454,882.60
  6. Step 6: Final answer
    x = 304,000.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.