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Finding the Fourth Proportional to 362,419.20, 543,434.40 and 151,819.20

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Solution

The fourth proportional to 362,419.20, 543,434.40 and 151,819.20 is: 227,647.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,419.20 : 543,434.40 = 151,819.20 : x
  2. Step 2: Convert to fraction form
    362,419.20/543,434.40 = 151,819.20/x
  3. Step 3: Cross multiply
    362,419.20x = 543,434.40 × 151,819.20
  4. Step 4: Simplify right side
    362,419.20x = 82,503,775,860.48
  5. Step 5: Solve for x
    x = 82,503,775,860.48/362,419.20
  6. Step 6: Final answer
    x = 227,647.36

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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.