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Finding the Fourth Proportional to 465,704.60, 697,972.38 and 199,151.72

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Solution

The fourth proportional to 465,704.60, 697,972.38 and 199,151.72 is: 298,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,704.60 : 697,972.38 = 199,151.72 : x
  2. Step 2: Convert to fraction form
    465,704.60/697,972.38 = 199,151.72/x
  3. Step 3: Cross multiply
    465,704.60x = 697,972.38 × 199,151.72
  4. Step 4: Simplify right side
    465,704.60x = 139,002,399,989.49
  5. Step 5: Solve for x
    x = 139,002,399,989.49/465,704.60
  6. Step 6: Final answer
    x = 298,477.62

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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.