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Finding the Fourth Proportional to 324,013.40, 485,847.30 and 136,813.40

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Solution

The fourth proportional to 324,013.40, 485,847.30 and 136,813.40 is: 205,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,013.40 : 485,847.30 = 136,813.40 : x
  2. Step 2: Convert to fraction form
    324,013.40/485,847.30 = 136,813.40/x
  3. Step 3: Cross multiply
    324,013.40x = 485,847.30 × 136,813.40
  4. Step 4: Simplify right side
    324,013.40x = 66,470,420,993.82
  5. Step 5: Solve for x
    x = 66,470,420,993.82/324,013.40
  6. Step 6: Final answer
    x = 205,147.14

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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.