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Finding the Fourth Proportional to 652,082.80, 978,124.20 and 202,832.05

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Solution

The fourth proportional to 652,082.80, 978,124.20 and 202,832.05 is: 304,248.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,082.80 : 978,124.20 = 202,832.05 : x
  2. Step 2: Convert to fraction form
    652,082.80/978,124.20 = 202,832.05/x
  3. Step 3: Cross multiply
    652,082.80x = 978,124.20 × 202,832.05
  4. Step 4: Simplify right side
    652,082.80x = 198,394,936,640.61
  5. Step 5: Solve for x
    x = 198,394,936,640.61/652,082.80
  6. Step 6: Final answer
    x = 304,248.08

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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.