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Finding the Fourth Proportional to 465,764.36, 698,144.40 and 225,370.52

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Solution

The fourth proportional to 465,764.36, 698,144.40 and 225,370.52 is: 337,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,764.36 : 698,144.40 = 225,370.52 : x
  2. Step 2: Convert to fraction form
    465,764.36/698,144.40 = 225,370.52/x
  3. Step 3: Cross multiply
    465,764.36x = 698,144.40 × 225,370.52
  4. Step 4: Simplify right side
    465,764.36x = 157,341,166,463.09
  5. Step 5: Solve for x
    x = 157,341,166,463.09/465,764.36
  6. Step 6: Final answer
    x = 337,812.81

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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.