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Finding the Fourth Proportional to 377,711.40, 567,223.20 and 200,564.40

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Solution

The fourth proportional to 377,711.40, 567,223.20 and 200,564.40 is: 301,194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,711.40 : 567,223.20 = 200,564.40 : x
  2. Step 2: Convert to fraction form
    377,711.40/567,223.20 = 200,564.40/x
  3. Step 3: Cross multiply
    377,711.40x = 567,223.20 × 200,564.40
  4. Step 4: Simplify right side
    377,711.40x = 113,764,780,774.08
  5. Step 5: Solve for x
    x = 113,764,780,774.08/377,711.40
  6. Step 6: Final answer
    x = 301,194.99

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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.