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Finding the Fourth Proportional to 422,676.50, 583,353.24 and 261,583.43

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Solution

The fourth proportional to 422,676.50, 583,353.24 and 261,583.43 is: 361,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,676.50 : 583,353.24 = 261,583.43 : x
  2. Step 2: Convert to fraction form
    422,676.50/583,353.24 = 261,583.43/x
  3. Step 3: Cross multiply
    422,676.50x = 583,353.24 × 261,583.43
  4. Step 4: Simplify right side
    422,676.50x = 152,595,541,420.81
  5. Step 5: Solve for x
    x = 152,595,541,420.81/422,676.50
  6. Step 6: Final answer
    x = 361,022.06

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1.5x scale

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.