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Finding the Fourth Proportional to 422,064.35, 632,708.56 and 152,126.43

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Solution

The fourth proportional to 422,064.35, 632,708.56 and 152,126.43 is: 228,049.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,064.35 : 632,708.56 = 152,126.43 : x
  2. Step 2: Convert to fraction form
    422,064.35/632,708.56 = 152,126.43/x
  3. Step 3: Cross multiply
    422,064.35x = 632,708.56 × 152,126.43
  4. Step 4: Simplify right side
    422,064.35x = 96,251,694,463.24
  5. Step 5: Solve for x
    x = 96,251,694,463.24/422,064.35
  6. Step 6: Final answer
    x = 228,049.81

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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.