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Finding the Fourth Proportional to 471,920.20, 707,847.90 and 152,067.40

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Solution

The fourth proportional to 471,920.20, 707,847.90 and 152,067.40 is: 228,090.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,920.20 : 707,847.90 = 152,067.40 : x
  2. Step 2: Convert to fraction form
    471,920.20/707,847.90 = 152,067.40/x
  3. Step 3: Cross multiply
    471,920.20x = 707,847.90 × 152,067.40
  4. Step 4: Simplify right side
    471,920.20x = 107,640,589,748.46
  5. Step 5: Solve for x
    x = 107,640,589,748.46/471,920.20
  6. Step 6: Final answer
    x = 228,090.66

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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.