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Finding the Fourth Proportional to 490,468.38, 735,585.93 and 135,474.54

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Solution

The fourth proportional to 490,468.38, 735,585.93 and 135,474.54 is: 203,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,468.38 : 735,585.93 = 135,474.54 : x
  2. Step 2: Convert to fraction form
    490,468.38/735,585.93 = 135,474.54/x
  3. Step 3: Cross multiply
    490,468.38x = 735,585.93 × 135,474.54
  4. Step 4: Simplify right side
    490,468.38x = 99,653,165,497.22
  5. Step 5: Solve for x
    x = 99,653,165,497.22/490,468.38
  6. Step 6: Final answer
    x = 203,179.59

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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.