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Finding the Fourth Proportional to 307,400.66, 460,141.46 and 226,438.96

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Solution

The fourth proportional to 307,400.66, 460,141.46 and 226,438.96 is: 338,951.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,400.66 : 460,141.46 = 226,438.96 : x
  2. Step 2: Convert to fraction form
    307,400.66/460,141.46 = 226,438.96/x
  3. Step 3: Cross multiply
    307,400.66x = 460,141.46 × 226,438.96
  4. Step 4: Simplify right side
    307,400.66x = 104,193,953,655.28
  5. Step 5: Solve for x
    x = 104,193,953,655.28/307,400.66
  6. Step 6: Final answer
    x = 338,951.63

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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.