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Finding the Fourth Proportional to 422,704.24, 583,518 and 295,877.68

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Solution

The fourth proportional to 422,704.24, 583,518 and 295,877.68 is: 408,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,704.24 : 583,518 = 295,877.68 : x
  2. Step 2: Convert to fraction form
    422,704.24/583,518 = 295,877.68/x
  3. Step 3: Cross multiply
    422,704.24x = 583,518 × 295,877.68
  4. Step 4: Simplify right side
    422,704.24x = 172,649,952,078.24
  5. Step 5: Solve for x
    x = 172,649,952,078.24/422,704.24
  6. Step 6: Final answer
    x = 408,441.50

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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.