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Finding the Fourth Proportional to 294,634.78, 442,145.94 and 161,608.48

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Solution

The fourth proportional to 294,634.78, 442,145.94 and 161,608.48 is: 242,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,634.78 : 442,145.94 = 161,608.48 : x
  2. Step 2: Convert to fraction form
    294,634.78/442,145.94 = 161,608.48/x
  3. Step 3: Cross multiply
    294,634.78x = 442,145.94 × 161,608.48
  4. Step 4: Simplify right side
    294,634.78x = 71,454,533,301.57
  5. Step 5: Solve for x
    x = 71,454,533,301.57/294,634.78
  6. Step 6: Final answer
    x = 242,519.00

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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.