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Finding the Fourth Proportional to 277,286.10, 415,929.15 and 220,205.40

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Solution

The fourth proportional to 277,286.10, 415,929.15 and 220,205.40 is: 330,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,286.10 : 415,929.15 = 220,205.40 : x
  2. Step 2: Convert to fraction form
    277,286.10/415,929.15 = 220,205.40/x
  3. Step 3: Cross multiply
    277,286.10x = 415,929.15 × 220,205.40
  4. Step 4: Simplify right side
    277,286.10x = 91,589,844,847.41
  5. Step 5: Solve for x
    x = 91,589,844,847.41/277,286.10
  6. Step 6: Final answer
    x = 330,308.10

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1.5x scale

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.