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Finding the Fourth Proportional to 419,160.96, 628,747.92 and 233,353.44

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Solution

The fourth proportional to 419,160.96, 628,747.92 and 233,353.44 is: 350,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,160.96 : 628,747.92 = 233,353.44 : x
  2. Step 2: Convert to fraction form
    419,160.96/628,747.92 = 233,353.44/x
  3. Step 3: Cross multiply
    419,160.96x = 628,747.92 × 233,353.44
  4. Step 4: Simplify right side
    419,160.96x = 146,720,490,024.85
  5. Step 5: Solve for x
    x = 146,720,490,024.85/419,160.96
  6. Step 6: Final answer
    x = 350,033.77

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1.5x scale

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.