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Finding the Fourth Proportional to 294,911.80, 442,367.70 and 161,740.60

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Solution

The fourth proportional to 294,911.80, 442,367.70 and 161,740.60 is: 242,610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,911.80 : 442,367.70 = 161,740.60 : x
  2. Step 2: Convert to fraction form
    294,911.80/442,367.70 = 161,740.60/x
  3. Step 3: Cross multiply
    294,911.80x = 442,367.70 × 161,740.60
  4. Step 4: Simplify right side
    294,911.80x = 71,548,817,218.62
  5. Step 5: Solve for x
    x = 71,548,817,218.62/294,911.80
  6. Step 6: Final answer
    x = 242,610.90

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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.