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Finding the Fourth Proportional to 437,363.40, 656,336.70 and 200,584.20

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Solution

The fourth proportional to 437,363.40, 656,336.70 and 200,584.20 is: 301,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,363.40 : 656,336.70 = 200,584.20 : x
  2. Step 2: Convert to fraction form
    437,363.40/656,336.70 = 200,584.20/x
  3. Step 3: Cross multiply
    437,363.40x = 656,336.70 × 200,584.20
  4. Step 4: Simplify right side
    437,363.40x = 131,650,771,900.14
  5. Step 5: Solve for x
    x = 131,650,771,900.14/437,363.40
  6. Step 6: Final answer
    x = 301,010.03

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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.