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Finding the Fourth Proportional to 377,682.40, 566,329.20 and 140,903.20

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Solution

The fourth proportional to 377,682.40, 566,329.20 and 140,903.20 is: 211,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,682.40 : 566,329.20 = 140,903.20 : x
  2. Step 2: Convert to fraction form
    377,682.40/566,329.20 = 140,903.20/x
  3. Step 3: Cross multiply
    377,682.40x = 566,329.20 × 140,903.20
  4. Step 4: Simplify right side
    377,682.40x = 79,797,596,533.44
  5. Step 5: Solve for x
    x = 79,797,596,533.44/377,682.40
  6. Step 6: Final answer
    x = 211,282.27

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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.