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Finding the Fourth Proportional to 307,974.24, 461,964.24 and 97,596

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Solution

The fourth proportional to 307,974.24, 461,964.24 and 97,596 is: 146,394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,974.24 : 461,964.24 = 97,596 : x
  2. Step 2: Convert to fraction form
    307,974.24/461,964.24 = 97,596/x
  3. Step 3: Cross multiply
    307,974.24x = 461,964.24 × 97,596
  4. Step 4: Simplify right side
    307,974.24x = 45,085,861,967.04
  5. Step 5: Solve for x
    x = 45,085,861,967.04/307,974.24
  6. Step 6: Final answer
    x = 146,394.91

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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.