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Finding the Fourth Proportional to 300,966.54, 415,324.82 and 164,995.84

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Solution

The fourth proportional to 300,966.54, 415,324.82 and 164,995.84 is: 227,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,966.54 : 415,324.82 = 164,995.84 : x
  2. Step 2: Convert to fraction form
    300,966.54/415,324.82 = 164,995.84/x
  3. Step 3: Cross multiply
    300,966.54x = 415,324.82 × 164,995.84
  4. Step 4: Simplify right side
    300,966.54x = 68,526,867,548.75
  5. Step 5: Solve for x
    x = 68,526,867,548.75/300,966.54
  6. Step 6: Final answer
    x = 227,689.32

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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.