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Finding the Fourth Proportional to 294,660.42, 442,184.22 and 161,634.12

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Solution

The fourth proportional to 294,660.42, 442,184.22 and 161,634.12 is: 242,557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,660.42 : 442,184.22 = 161,634.12 : x
  2. Step 2: Convert to fraction form
    294,660.42/442,184.22 = 161,634.12/x
  3. Step 3: Cross multiply
    294,660.42x = 442,184.22 × 161,634.12
  4. Step 4: Simplify right side
    294,660.42x = 71,472,057,277.59
  5. Step 5: Solve for x
    x = 71,472,057,277.59/294,660.42
  6. Step 6: Final answer
    x = 242,557.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.