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Finding the Fourth Proportional to 365,150.56, 547,273.68 and 206,899.24

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Solution

The fourth proportional to 365,150.56, 547,273.68 and 206,899.24 is: 310,092.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,150.56 : 547,273.68 = 206,899.24 : x
  2. Step 2: Convert to fraction form
    365,150.56/547,273.68 = 206,899.24/x
  3. Step 3: Cross multiply
    365,150.56x = 547,273.68 × 206,899.24
  4. Step 4: Simplify right side
    365,150.56x = 113,230,508,464.00
  5. Step 5: Solve for x
    x = 113,230,508,464.00/365,150.56
  6. Step 6: Final answer
    x = 310,092.66

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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.