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Finding the Fourth Proportional to 421,651.96, 632,685.71 and 197,027.92

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Solution

The fourth proportional to 421,651.96, 632,685.71 and 197,027.92 is: 295,638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,651.96 : 632,685.71 = 197,027.92 : x
  2. Step 2: Convert to fraction form
    421,651.96/632,685.71 = 197,027.92/x
  3. Step 3: Cross multiply
    421,651.96x = 632,685.71 × 197,027.92
  4. Step 4: Simplify right side
    421,651.96x = 124,656,745,306.46
  5. Step 5: Solve for x
    x = 124,656,745,306.46/421,651.96
  6. Step 6: Final answer
    x = 295,638.96

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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.