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Finding the Fourth Proportional to 432,640.46, 648,249.01 and 148,174.14

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Solution

The fourth proportional to 432,640.46, 648,249.01 and 148,174.14 is: 222,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,640.46 : 648,249.01 = 148,174.14 : x
  2. Step 2: Convert to fraction form
    432,640.46/648,249.01 = 148,174.14/x
  3. Step 3: Cross multiply
    432,640.46x = 648,249.01 × 148,174.14
  4. Step 4: Simplify right side
    432,640.46x = 96,053,739,562.60
  5. Step 5: Solve for x
    x = 96,053,739,562.60/432,640.46
  6. Step 6: Final answer
    x = 222,017.47

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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.