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Finding the Fourth Proportional to 433,286.62, 597,734.03 and 280,374.23

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Solution

The fourth proportional to 433,286.62, 597,734.03 and 280,374.23 is: 386,786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,286.62 : 597,734.03 = 280,374.23 : x
  2. Step 2: Convert to fraction form
    433,286.62/597,734.03 = 280,374.23/x
  3. Step 3: Cross multiply
    433,286.62x = 597,734.03 × 280,374.23
  4. Step 4: Simplify right side
    433,286.62x = 167,589,215,417.38
  5. Step 5: Solve for x
    x = 167,589,215,417.38/433,286.62
  6. Step 6: Final answer
    x = 386,786.04

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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.