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Finding the Fourth Proportional to 422,094.80, 632,604.60 and 172,494.80

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Solution

The fourth proportional to 422,094.80, 632,604.60 and 172,494.80 is: 258,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,094.80 : 632,604.60 = 172,494.80 : x
  2. Step 2: Convert to fraction form
    422,094.80/632,604.60 = 172,494.80/x
  3. Step 3: Cross multiply
    422,094.80x = 632,604.60 × 172,494.80
  4. Step 4: Simplify right side
    422,094.80x = 109,121,003,956.08
  5. Step 5: Solve for x
    x = 109,121,003,956.08/422,094.80
  6. Step 6: Final answer
    x = 258,522.50

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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.