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Finding the Fourth Proportional to 311,983.20, 467,197.20 and 249,775.20

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Solution

The fourth proportional to 311,983.20, 467,197.20 and 249,775.20 is: 374,040.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,983.20 : 467,197.20 = 249,775.20 : x
  2. Step 2: Convert to fraction form
    311,983.20/467,197.20 = 249,775.20/x
  3. Step 3: Cross multiply
    311,983.20x = 467,197.20 × 249,775.20
  4. Step 4: Simplify right side
    311,983.20x = 116,694,274,069.44
  5. Step 5: Solve for x
    x = 116,694,274,069.44/311,983.20
  6. Step 6: Final answer
    x = 374,040.25

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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.