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Finding the Fourth Proportional to 541,383.20, 810,325.20 and 422,410.40

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Solution

The fourth proportional to 541,383.20, 810,325.20 and 422,410.40 is: 632,250.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,383.20 : 810,325.20 = 422,410.40 : x
  2. Step 2: Convert to fraction form
    541,383.20/810,325.20 = 422,410.40/x
  3. Step 3: Cross multiply
    541,383.20x = 810,325.20 × 422,410.40
  4. Step 4: Simplify right side
    541,383.20x = 342,289,791,862.08
  5. Step 5: Solve for x
    x = 342,289,791,862.08/541,383.20
  6. Step 6: Final answer
    x = 632,250.49

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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.