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Finding the Fourth Proportional to 421,491.52, 632,236.56 and 196,776.64

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Solution

The fourth proportional to 421,491.52, 632,236.56 and 196,776.64 is: 295,164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,491.52 : 632,236.56 = 196,776.64 : x
  2. Step 2: Convert to fraction form
    421,491.52/632,236.56 = 196,776.64/x
  3. Step 3: Cross multiply
    421,491.52x = 632,236.56 × 196,776.64
  4. Step 4: Simplify right side
    421,491.52x = 124,409,385,961.96
  5. Step 5: Solve for x
    x = 124,409,385,961.96/421,491.52
  6. Step 6: Final answer
    x = 295,164.62

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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.