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Finding the Fourth Proportional to 437,364.40, 656,338.20 and 200,585.20

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Solution

The fourth proportional to 437,364.40, 656,338.20 and 200,585.20 is: 301,011.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,364.40 : 656,338.20 = 200,585.20 : x
  2. Step 2: Convert to fraction form
    437,364.40/656,338.20 = 200,585.20/x
  3. Step 3: Cross multiply
    437,364.40x = 656,338.20 × 200,585.20
  4. Step 4: Simplify right side
    437,364.40x = 131,651,729,114.64
  5. Step 5: Solve for x
    x = 131,651,729,114.64/437,364.40
  6. Step 6: Final answer
    x = 301,011.53

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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.