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Finding the Fourth Proportional to 580,102, 800,542.92 and 338,551.36

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Solution

The fourth proportional to 580,102, 800,542.92 and 338,551.36 is: 467,202.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,102 : 800,542.92 = 338,551.36 : x
  2. Step 2: Convert to fraction form
    580,102/800,542.92 = 338,551.36/x
  3. Step 3: Cross multiply
    580,102x = 800,542.92 × 338,551.36
  4. Step 4: Simplify right side
    580,102x = 271,024,894,304.37
  5. Step 5: Solve for x
    x = 271,024,894,304.37/580,102
  6. Step 6: Final answer
    x = 467,202.14

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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.