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Finding the Fourth Proportional to 337,942.38, 466,328.88 and 201,949.32

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Solution

The fourth proportional to 337,942.38, 466,328.88 and 201,949.32 is: 278,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,942.38 : 466,328.88 = 201,949.32 : x
  2. Step 2: Convert to fraction form
    337,942.38/466,328.88 = 201,949.32/x
  3. Step 3: Cross multiply
    337,942.38x = 466,328.88 × 201,949.32
  4. Step 4: Simplify right side
    337,942.38x = 94,174,800,212.36
  5. Step 5: Solve for x
    x = 94,174,800,212.36/337,942.38
  6. Step 6: Final answer
    x = 278,671.18

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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.