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Finding the Fourth Proportional to 632,709.42, 873,138.98 and 346,229.54

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Solution

The fourth proportional to 632,709.42, 873,138.98 and 346,229.54 is: 477,796.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,709.42 : 873,138.98 = 346,229.54 : x
  2. Step 2: Convert to fraction form
    632,709.42/873,138.98 = 346,229.54/x
  3. Step 3: Cross multiply
    632,709.42x = 873,138.98 × 346,229.54
  4. Step 4: Simplify right side
    632,709.42x = 302,306,507,401.47
  5. Step 5: Solve for x
    x = 302,306,507,401.47/632,709.42
  6. Step 6: Final answer
    x = 477,796.75

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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.