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Finding the Fourth Proportional to 377,419.80, 566,228.10 and 140,764.50

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Solution

The fourth proportional to 377,419.80, 566,228.10 and 140,764.50 is: 211,183.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,419.80 : 566,228.10 = 140,764.50 : x
  2. Step 2: Convert to fraction form
    377,419.80/566,228.10 = 140,764.50/x
  3. Step 3: Cross multiply
    377,419.80x = 566,228.10 × 140,764.50
  4. Step 4: Simplify right side
    377,419.80x = 79,704,815,382.45
  5. Step 5: Solve for x
    x = 79,704,815,382.45/377,419.80
  6. Step 6: Final answer
    x = 211,183.45

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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.