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Finding the Fourth Proportional to 307,906.10, 461,794.35 and 130,418.90

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Solution

The fourth proportional to 307,906.10, 461,794.35 and 130,418.90 is: 195,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,906.10 : 461,794.35 = 130,418.90 : x
  2. Step 2: Convert to fraction form
    307,906.10/461,794.35 = 130,418.90/x
  3. Step 3: Cross multiply
    307,906.10x = 461,794.35 × 130,418.90
  4. Step 4: Simplify right side
    307,906.10x = 60,226,711,153.22
  5. Step 5: Solve for x
    x = 60,226,711,153.22/307,906.10
  6. Step 6: Final answer
    x = 195,600.90

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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.