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Finding the Fourth Proportional to 377,169.40, 566,410.20 and 200,022.40

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Solution

The fourth proportional to 377,169.40, 566,410.20 and 200,022.40 is: 300,381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,169.40 : 566,410.20 = 200,022.40 : x
  2. Step 2: Convert to fraction form
    377,169.40/566,410.20 = 200,022.40/x
  3. Step 3: Cross multiply
    377,169.40x = 566,410.20 × 200,022.40
  4. Step 4: Simplify right side
    377,169.40x = 113,294,727,588.48
  5. Step 5: Solve for x
    x = 113,294,727,588.48/377,169.40
  6. Step 6: Final answer
    x = 300,381.55

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1.5x scale

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.