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Finding the Fourth Proportional to 294,944.20, 442,356.90 and 84,525.64

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Solution

The fourth proportional to 294,944.20, 442,356.90 and 84,525.64 is: 126,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,944.20 : 442,356.90 = 84,525.64 : x
  2. Step 2: Convert to fraction form
    294,944.20/442,356.90 = 84,525.64/x
  3. Step 3: Cross multiply
    294,944.20x = 442,356.90 × 84,525.64
  4. Step 4: Simplify right side
    294,944.20x = 37,390,500,080.92
  5. Step 5: Solve for x
    x = 37,390,500,080.92/294,944.20
  6. Step 6: Final answer
    x = 126,771.44

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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.