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Finding the Fourth Proportional to 490,467.88, 735,585.18 and 135,474.04

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Solution

The fourth proportional to 490,467.88, 735,585.18 and 135,474.04 is: 203,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,467.88 : 735,585.18 = 135,474.04 : x
  2. Step 2: Convert to fraction form
    490,467.88/735,585.18 = 135,474.04/x
  3. Step 3: Cross multiply
    490,467.88x = 735,585.18 × 135,474.04
  4. Step 4: Simplify right side
    490,467.88x = 99,652,696,098.73
  5. Step 5: Solve for x
    x = 99,652,696,098.73/490,467.88
  6. Step 6: Final answer
    x = 203,178.84

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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.