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Finding the Fourth Proportional to 802,020.92, 1,203,220 and 233,414.28

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Solution

The fourth proportional to 802,020.92, 1,203,220 and 233,414.28 is: 350,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,020.92 : 1,203,220 = 233,414.28 : x
  2. Step 2: Convert to fraction form
    802,020.92/1,203,220 = 233,414.28/x
  3. Step 3: Cross multiply
    802,020.92x = 1,203,220 × 233,414.28
  4. Step 4: Simplify right side
    802,020.92x = 280,848,729,981.60
  5. Step 5: Solve for x
    x = 280,848,729,981.60/802,020.92
  6. Step 6: Final answer
    x = 350,176.31

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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.