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Finding the Fourth Proportional to 294,634.52, 442,145.46 and 161,608

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Solution

The fourth proportional to 294,634.52, 442,145.46 and 161,608 is: 242,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,634.52 : 442,145.46 = 161,608 : x
  2. Step 2: Convert to fraction form
    294,634.52/442,145.46 = 161,608/x
  3. Step 3: Cross multiply
    294,634.52x = 442,145.46 × 161,608
  4. Step 4: Simplify right side
    294,634.52x = 71,454,243,499.68
  5. Step 5: Solve for x
    x = 71,454,243,499.68/294,634.52
  6. Step 6: Final answer
    x = 242,518.23

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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.