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Finding the Fourth Proportional to 307,398.66, 460,138.46 and 226,436.95

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Solution

The fourth proportional to 307,398.66, 460,138.46 and 226,436.95 is: 338,948.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,398.66 : 460,138.46 = 226,436.95 : x
  2. Step 2: Convert to fraction form
    307,398.66/460,138.46 = 226,436.95/x
  3. Step 3: Cross multiply
    307,398.66x = 460,138.46 × 226,436.95
  4. Step 4: Simplify right side
    307,398.66x = 104,192,349,460.10
  5. Step 5: Solve for x
    x = 104,192,349,460.10/307,398.66
  6. Step 6: Final answer
    x = 338,948.61

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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.