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Finding the Fourth Proportional to 299,758.33, 413,653.66 and 163,790.11

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Solution

The fourth proportional to 299,758.33, 413,653.66 and 163,790.11 is: 226,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,758.33 : 413,653.66 = 163,790.11 : x
  2. Step 2: Convert to fraction form
    299,758.33/413,653.66 = 163,790.11/x
  3. Step 3: Cross multiply
    299,758.33x = 413,653.66 × 163,790.11
  4. Step 4: Simplify right side
    299,758.33x = 67,752,378,473.30
  5. Step 5: Solve for x
    x = 67,752,378,473.30/299,758.33
  6. Step 6: Final answer
    x = 226,023.34

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