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Finding the Fourth Proportional to 380,878.37, 571,138.50 and 140,826.42

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Solution

The fourth proportional to 380,878.37, 571,138.50 and 140,826.42 is: 211,173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,878.37 : 571,138.50 = 140,826.42 : x
  2. Step 2: Convert to fraction form
    380,878.37/571,138.50 = 140,826.42/x
  3. Step 3: Cross multiply
    380,878.37x = 571,138.50 × 140,826.42
  4. Step 4: Simplify right side
    380,878.37x = 80,431,390,015.12
  5. Step 5: Solve for x
    x = 80,431,390,015.12/380,878.37
  6. Step 6: Final answer
    x = 211,173.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.