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Finding the Fourth Proportional to 421,628.40, 632,005.20 and 231,796.80

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Solution

The fourth proportional to 421,628.40, 632,005.20 and 231,796.80 is: 347,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,628.40 : 632,005.20 = 231,796.80 : x
  2. Step 2: Convert to fraction form
    421,628.40/632,005.20 = 231,796.80/x
  3. Step 3: Cross multiply
    421,628.40x = 632,005.20 × 231,796.80
  4. Step 4: Simplify right side
    421,628.40x = 146,496,782,943.36
  5. Step 5: Solve for x
    x = 146,496,782,943.36/421,628.40
  6. Step 6: Final answer
    x = 347,454.73

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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.