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Finding the Fourth Proportional to 337,155.84, 465,284.20 and 201,268.66

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Solution

The fourth proportional to 337,155.84, 465,284.20 and 201,268.66 is: 277,756.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,155.84 : 465,284.20 = 201,268.66 : x
  2. Step 2: Convert to fraction form
    337,155.84/465,284.20 = 201,268.66/x
  3. Step 3: Cross multiply
    337,155.84x = 465,284.20 × 201,268.66
  4. Step 4: Simplify right side
    337,155.84x = 93,647,125,786.79
  5. Step 5: Solve for x
    x = 93,647,125,786.79/337,155.84
  6. Step 6: Final answer
    x = 277,756.20

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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.