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Finding the Fourth Proportional to 322,847.40, 484,098.30 and 135,647.40

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Solution

The fourth proportional to 322,847.40, 484,098.30 and 135,647.40 is: 203,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,847.40 : 484,098.30 = 135,647.40 : x
  2. Step 2: Convert to fraction form
    322,847.40/484,098.30 = 135,647.40/x
  3. Step 3: Cross multiply
    322,847.40x = 484,098.30 × 135,647.40
  4. Step 4: Simplify right side
    322,847.40x = 65,666,675,739.42
  5. Step 5: Solve for x
    x = 65,666,675,739.42/322,847.40
  6. Step 6: Final answer
    x = 203,398.50

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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.