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Finding the Fourth Proportional to 335,548.22, 502,900.92 and 200,711.78

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Solution

The fourth proportional to 335,548.22, 502,900.92 and 200,711.78 is: 300,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,548.22 : 502,900.92 = 200,711.78 : x
  2. Step 2: Convert to fraction form
    335,548.22/502,900.92 = 200,711.78/x
  3. Step 3: Cross multiply
    335,548.22x = 502,900.92 × 200,711.78
  4. Step 4: Simplify right side
    335,548.22x = 100,938,138,816.84
  5. Step 5: Solve for x
    x = 100,938,138,816.84/335,548.22
  6. Step 6: Final answer
    x = 300,815.60

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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.