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Finding the Fourth Proportional to 311,822.60, 467,952.60 and 199,775.30

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Solution

The fourth proportional to 311,822.60, 467,952.60 and 199,775.30 is: 299,803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,822.60 : 467,952.60 = 199,775.30 : x
  2. Step 2: Convert to fraction form
    311,822.60/467,952.60 = 199,775.30/x
  3. Step 3: Cross multiply
    311,822.60x = 467,952.60 × 199,775.30
  4. Step 4: Simplify right side
    311,822.60x = 93,485,371,050.78
  5. Step 5: Solve for x
    x = 93,485,371,050.78/311,822.60
  6. Step 6: Final answer
    x = 299,803.06

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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.