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Finding the Fourth Proportional to 297,863.38, 411,051.47 and 163,727.38

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Solution

The fourth proportional to 297,863.38, 411,051.47 and 163,727.38 is: 225,943.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,863.38 : 411,051.47 = 163,727.38 : x
  2. Step 2: Convert to fraction form
    297,863.38/411,051.47 = 163,727.38/x
  3. Step 3: Cross multiply
    297,863.38x = 411,051.47 × 163,727.38
  4. Step 4: Simplify right side
    297,863.38x = 67,300,380,228.25
  5. Step 5: Solve for x
    x = 67,300,380,228.25/297,863.38
  6. Step 6: Final answer
    x = 225,943.79

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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.