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Finding the Fourth Proportional to 468,906.48, 703,446.12 and 153,380.88

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Solution

The fourth proportional to 468,906.48, 703,446.12 and 153,380.88 is: 230,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,906.48 : 703,446.12 = 153,380.88 : x
  2. Step 2: Convert to fraction form
    468,906.48/703,446.12 = 153,380.88/x
  3. Step 3: Cross multiply
    468,906.48x = 703,446.12 × 153,380.88
  4. Step 4: Simplify right side
    468,906.48x = 107,895,184,918.19
  5. Step 5: Solve for x
    x = 107,895,184,918.19/468,906.48
  6. Step 6: Final answer
    x = 230,099.58

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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.