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Finding the Fourth Proportional to 291,269.52, 401,926.31 and 162,198.24

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Solution

The fourth proportional to 291,269.52, 401,926.31 and 162,198.24 is: 223,819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,269.52 : 401,926.31 = 162,198.24 : x
  2. Step 2: Convert to fraction form
    291,269.52/401,926.31 = 162,198.24/x
  3. Step 3: Cross multiply
    291,269.52x = 401,926.31 × 162,198.24
  4. Step 4: Simplify right side
    291,269.52x = 65,191,737,271.07
  5. Step 5: Solve for x
    x = 65,191,737,271.07/291,269.52
  6. Step 6: Final answer
    x = 223,819.29

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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.