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Finding the Fourth Proportional to 437,163.90, 656,037.45 and 200,384.70

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Solution

The fourth proportional to 437,163.90, 656,037.45 and 200,384.70 is: 300,710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,163.90 : 656,037.45 = 200,384.70 : x
  2. Step 2: Convert to fraction form
    437,163.90/656,037.45 = 200,384.70/x
  3. Step 3: Cross multiply
    437,163.90x = 656,037.45 × 200,384.70
  4. Step 4: Simplify right side
    437,163.90x = 131,459,867,607.02
  5. Step 5: Solve for x
    x = 131,459,867,607.02/437,163.90
  6. Step 6: Final answer
    x = 300,710.71

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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.