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Finding the Fourth Proportional to 291,006.73, 401,585.17 and 163,682.02

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Solution

The fourth proportional to 291,006.73, 401,585.17 and 163,682.02 is: 225,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,006.73 : 401,585.17 = 163,682.02 : x
  2. Step 2: Convert to fraction form
    291,006.73/401,585.17 = 163,682.02/x
  3. Step 3: Cross multiply
    291,006.73x = 401,585.17 × 163,682.02
  4. Step 4: Simplify right side
    291,006.73x = 65,732,269,508.05
  5. Step 5: Solve for x
    x = 65,732,269,508.05/291,006.73
  6. Step 6: Final answer
    x = 225,878.87

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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.