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Finding the Fourth Proportional to 348,647.06, 523,250.86 and 180,216.78

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Solution

The fourth proportional to 348,647.06, 523,250.86 and 180,216.78 is: 270,470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,647.06 : 523,250.86 = 180,216.78 : x
  2. Step 2: Convert to fraction form
    348,647.06/523,250.86 = 180,216.78/x
  3. Step 3: Cross multiply
    348,647.06x = 523,250.86 × 180,216.78
  4. Step 4: Simplify right side
    348,647.06x = 94,298,585,121.43
  5. Step 5: Solve for x
    x = 94,298,585,121.43/348,647.06
  6. Step 6: Final answer
    x = 270,470.04

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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.