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Finding the Fourth Proportional to 307,964.32, 461,876.82 and 97,487.44

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Solution

The fourth proportional to 307,964.32, 461,876.82 and 97,487.44 is: 146,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,964.32 : 461,876.82 = 97,487.44 : x
  2. Step 2: Convert to fraction form
    307,964.32/461,876.82 = 97,487.44/x
  3. Step 3: Cross multiply
    307,964.32x = 461,876.82 × 97,487.44
  4. Step 4: Simplify right side
    307,964.32x = 45,027,188,777.14
  5. Step 5: Solve for x
    x = 45,027,188,777.14/307,964.32
  6. Step 6: Final answer
    x = 146,209.11

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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.