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Finding the Fourth Proportional to 425,410.80, 638,116.20 and 212,834.40

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Solution

The fourth proportional to 425,410.80, 638,116.20 and 212,834.40 is: 319,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,410.80 : 638,116.20 = 212,834.40 : x
  2. Step 2: Convert to fraction form
    425,410.80/638,116.20 = 212,834.40/x
  3. Step 3: Cross multiply
    425,410.80x = 638,116.20 × 212,834.40
  4. Step 4: Simplify right side
    425,410.80x = 135,813,078,557.28
  5. Step 5: Solve for x
    x = 135,813,078,557.28/425,410.80
  6. Step 6: Final answer
    x = 319,251.60

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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.