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Finding the Fourth Proportional to 292,049.87, 403,211.28 and 223,936.01

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Solution

The fourth proportional to 292,049.87, 403,211.28 and 223,936.01 is: 309,171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,049.87 : 403,211.28 = 223,936.01 : x
  2. Step 2: Convert to fraction form
    292,049.87/403,211.28 = 223,936.01/x
  3. Step 3: Cross multiply
    292,049.87x = 403,211.28 × 223,936.01
  4. Step 4: Simplify right side
    292,049.87x = 90,293,524,053.90
  5. Step 5: Solve for x
    x = 90,293,524,053.90/292,049.87
  6. Step 6: Final answer
    x = 309,171.59

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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.