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Finding the Fourth Proportional to 541,402.20, 810,353.70 and 422,429.40

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Solution

The fourth proportional to 541,402.20, 810,353.70 and 422,429.40 is: 632,278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,402.20 : 810,353.70 = 422,429.40 : x
  2. Step 2: Convert to fraction form
    541,402.20/810,353.70 = 422,429.40/x
  3. Step 3: Cross multiply
    541,402.20x = 810,353.70 × 422,429.40
  4. Step 4: Simplify right side
    541,402.20x = 342,317,227,278.78
  5. Step 5: Solve for x
    x = 342,317,227,278.78/541,402.20
  6. Step 6: Final answer
    x = 632,278.97

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1.5x scale

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.