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Finding the Fourth Proportional to 294,632.52, 442,142.46 and 161,606

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Solution

The fourth proportional to 294,632.52, 442,142.46 and 161,606 is: 242,515.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,632.52 : 442,142.46 = 161,606 : x
  2. Step 2: Convert to fraction form
    294,632.52/442,142.46 = 161,606/x
  3. Step 3: Cross multiply
    294,632.52x = 442,142.46 × 161,606
  4. Step 4: Simplify right side
    294,632.52x = 71,452,874,390.76
  5. Step 5: Solve for x
    x = 71,452,874,390.76/294,632.52
  6. Step 6: Final answer
    x = 242,515.23

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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.