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Finding the Fourth Proportional to 266,005.20, 399,007.80 and 206,518.80

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Solution

The fourth proportional to 266,005.20, 399,007.80 and 206,518.80 is: 309,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,005.20 : 399,007.80 = 206,518.80 : x
  2. Step 2: Convert to fraction form
    266,005.20/399,007.80 = 206,518.80/x
  3. Step 3: Cross multiply
    266,005.20x = 399,007.80 × 206,518.80
  4. Step 4: Simplify right side
    266,005.20x = 82,402,612,046.64
  5. Step 5: Solve for x
    x = 82,402,612,046.64/266,005.20
  6. Step 6: Final answer
    x = 309,778.20

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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.