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Finding the Fourth Proportional to 335,549.22, 502,902.42 and 200,712.78

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Solution

The fourth proportional to 335,549.22, 502,902.42 and 200,712.78 is: 300,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,549.22 : 502,902.42 = 200,712.78 : x
  2. Step 2: Convert to fraction form
    335,549.22/502,902.42 = 200,712.78/x
  3. Step 3: Cross multiply
    335,549.22x = 502,902.42 × 200,712.78
  4. Step 4: Simplify right side
    335,549.22x = 100,938,942,786.93
  5. Step 5: Solve for x
    x = 100,938,942,786.93/335,549.22
  6. Step 6: Final answer
    x = 300,817.10

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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.