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Finding the Fourth Proportional to 534,817.08, 802,121.94 and 202,419

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Solution

The fourth proportional to 534,817.08, 802,121.94 and 202,419 is: 303,589.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,817.08 : 802,121.94 = 202,419 : x
  2. Step 2: Convert to fraction form
    534,817.08/802,121.94 = 202,419/x
  3. Step 3: Cross multiply
    534,817.08x = 802,121.94 × 202,419
  4. Step 4: Simplify right side
    534,817.08x = 162,364,720,972.86
  5. Step 5: Solve for x
    x = 162,364,720,972.86/534,817.08
  6. Step 6: Final answer
    x = 303,589.26

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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.