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Finding the Fourth Proportional to 465,653.56, 698,103.62 and 145,640.78

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Solution

The fourth proportional to 465,653.56, 698,103.62 and 145,640.78 is: 218,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,653.56 : 698,103.62 = 145,640.78 : x
  2. Step 2: Convert to fraction form
    465,653.56/698,103.62 = 145,640.78/x
  3. Step 3: Cross multiply
    465,653.56x = 698,103.62 × 145,640.78
  4. Step 4: Simplify right side
    465,653.56x = 101,672,355,737.62
  5. Step 5: Solve for x
    x = 101,672,355,737.62/465,653.56
  6. Step 6: Final answer
    x = 218,343.34

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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.