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Finding the Fourth Proportional to 632,735.34, 873,174.78 and 346,255.44

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Solution

The fourth proportional to 632,735.34, 873,174.78 and 346,255.44 is: 477,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,735.34 : 873,174.78 = 346,255.44 : x
  2. Step 2: Convert to fraction form
    632,735.34/873,174.78 = 346,255.44/x
  3. Step 3: Cross multiply
    632,735.34x = 873,174.78 × 346,255.44
  4. Step 4: Simplify right side
    632,735.34x = 302,341,517,645.80
  5. Step 5: Solve for x
    x = 302,341,517,645.80/632,735.34
  6. Step 6: Final answer
    x = 477,832.51

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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.