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Finding the Fourth Proportional to 300,391.77, 414,540.33 and 164,424.51

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Solution

The fourth proportional to 300,391.77, 414,540.33 and 164,424.51 is: 226,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,391.77 : 414,540.33 = 164,424.51 : x
  2. Step 2: Convert to fraction form
    300,391.77/414,540.33 = 164,424.51/x
  3. Step 3: Cross multiply
    300,391.77x = 414,540.33 × 164,424.51
  4. Step 4: Simplify right side
    300,391.77x = 68,160,588,562.79
  5. Step 5: Solve for x
    x = 68,160,588,562.79/300,391.77
  6. Step 6: Final answer
    x = 226,905.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.