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Finding the Fourth Proportional to 361,046.32, 498,251.69 and 197,709.72

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Solution

The fourth proportional to 361,046.32, 498,251.69 and 197,709.72 is: 272,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,046.32 : 498,251.69 = 197,709.72 : x
  2. Step 2: Convert to fraction form
    361,046.32/498,251.69 = 197,709.72/x
  3. Step 3: Cross multiply
    361,046.32x = 498,251.69 × 197,709.72
  4. Step 4: Simplify right side
    361,046.32x = 98,509,202,119.43
  5. Step 5: Solve for x
    x = 98,509,202,119.43/361,046.32
  6. Step 6: Final answer
    x = 272,843.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.