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Finding the Fourth Proportional to 297,585.95, 410,794.25 and 200,920.77

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Solution

The fourth proportional to 297,585.95, 410,794.25 and 200,920.77 is: 277,355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,585.95 : 410,794.25 = 200,920.77 : x
  2. Step 2: Convert to fraction form
    297,585.95/410,794.25 = 200,920.77/x
  3. Step 3: Cross multiply
    297,585.95x = 410,794.25 × 200,920.77
  4. Step 4: Simplify right side
    297,585.95x = 82,537,096,016.97
  5. Step 5: Solve for x
    x = 82,537,096,016.97/297,585.95
  6. Step 6: Final answer
    x = 277,355.49

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1.5x scale

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.