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Finding the Fourth Proportional to 422,467.20, 633,742.20 and 122,950.80

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Solution

The fourth proportional to 422,467.20, 633,742.20 and 122,950.80 is: 184,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,467.20 : 633,742.20 = 122,950.80 : x
  2. Step 2: Convert to fraction form
    422,467.20/633,742.20 = 122,950.80/x
  3. Step 3: Cross multiply
    422,467.20x = 633,742.20 × 122,950.80
  4. Step 4: Simplify right side
    422,467.20x = 77,919,110,483.76
  5. Step 5: Solve for x
    x = 77,919,110,483.76/422,467.20
  6. Step 6: Final answer
    x = 184,438.25

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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.