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Finding the Fourth Proportional to 338,367.64, 466,941.21 and 200,639.25

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Solution

The fourth proportional to 338,367.64, 466,941.21 and 200,639.25 is: 276,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,367.64 : 466,941.21 = 200,639.25 : x
  2. Step 2: Convert to fraction form
    338,367.64/466,941.21 = 200,639.25/x
  3. Step 3: Cross multiply
    338,367.64x = 466,941.21 × 200,639.25
  4. Step 4: Simplify right side
    338,367.64x = 93,686,734,168.49
  5. Step 5: Solve for x
    x = 93,686,734,168.49/338,367.64
  6. Step 6: Final answer
    x = 276,878.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.