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Finding the Fourth Proportional to 582,162, 872,769.96 and 262,078.80

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Solution

The fourth proportional to 582,162, 872,769.96 and 262,078.80 is: 392,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,162 : 872,769.96 = 262,078.80 : x
  2. Step 2: Convert to fraction form
    582,162/872,769.96 = 262,078.80/x
  3. Step 3: Cross multiply
    582,162x = 872,769.96 × 262,078.80
  4. Step 4: Simplify right side
    582,162x = 228,734,503,792.85
  5. Step 5: Solve for x
    x = 228,734,503,792.85/582,162
  6. Step 6: Final answer
    x = 392,905.25

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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.