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Finding the Fourth Proportional to 377,487.54, 566,329.32 and 140,832

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Solution

The fourth proportional to 377,487.54, 566,329.32 and 140,832 is: 211,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,487.54 : 566,329.32 = 140,832 : x
  2. Step 2: Convert to fraction form
    377,487.54/566,329.32 = 140,832/x
  3. Step 3: Cross multiply
    377,487.54x = 566,329.32 × 140,832
  4. Step 4: Simplify right side
    377,487.54x = 79,757,290,794.24
  5. Step 5: Solve for x
    x = 79,757,290,794.24/377,487.54
  6. Step 6: Final answer
    x = 211,284.57

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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.