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Finding the Fourth Proportional to 465,803.92, 698,705.54 and 150,260.84

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Solution

The fourth proportional to 465,803.92, 698,705.54 and 150,260.84 is: 225,391.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,803.92 : 698,705.54 = 150,260.84 : x
  2. Step 2: Convert to fraction form
    465,803.92/698,705.54 = 150,260.84/x
  3. Step 3: Cross multiply
    465,803.92x = 698,705.54 × 150,260.84
  4. Step 4: Simplify right side
    465,803.92x = 104,988,081,353.05
  5. Step 5: Solve for x
    x = 104,988,081,353.05/465,803.92
  6. Step 6: Final answer
    x = 225,391.15

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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.