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Finding the Fourth Proportional to 262,599.82, 362,022.36 and 221,932.56

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Solution

The fourth proportional to 262,599.82, 362,022.36 and 221,932.56 is: 305,958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,599.82 : 362,022.36 = 221,932.56 : x
  2. Step 2: Convert to fraction form
    262,599.82/362,022.36 = 221,932.56/x
  3. Step 3: Cross multiply
    262,599.82x = 362,022.36 × 221,932.56
  4. Step 4: Simplify right side
    262,599.82x = 80,344,549,132.04
  5. Step 5: Solve for x
    x = 80,344,549,132.04/262,599.82
  6. Step 6: Final answer
    x = 305,958.13

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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.