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Finding the Fourth Proportional to 416,067.70, 624,101.55 and 206,115.70

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Solution

The fourth proportional to 416,067.70, 624,101.55 and 206,115.70 is: 309,173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,067.70 : 624,101.55 = 206,115.70 : x
  2. Step 2: Convert to fraction form
    416,067.70/624,101.55 = 206,115.70/x
  3. Step 3: Cross multiply
    416,067.70x = 624,101.55 × 206,115.70
  4. Step 4: Simplify right side
    416,067.70x = 128,637,127,849.34
  5. Step 5: Solve for x
    x = 128,637,127,849.34/416,067.70
  6. Step 6: Final answer
    x = 309,173.55

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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.