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Finding the Fourth Proportional to 307,923.70, 462,039.15 and 174,906.10

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Solution

The fourth proportional to 307,923.70, 462,039.15 and 174,906.10 is: 262,446.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,923.70 : 462,039.15 = 174,906.10 : x
  2. Step 2: Convert to fraction form
    307,923.70/462,039.15 = 174,906.10/x
  3. Step 3: Cross multiply
    307,923.70x = 462,039.15 × 174,906.10
  4. Step 4: Simplify right side
    307,923.70x = 80,813,465,773.82
  5. Step 5: Solve for x
    x = 80,813,465,773.82/307,923.70
  6. Step 6: Final answer
    x = 262,446.40

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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.