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Finding the Fourth Proportional to 365,035.56, 547,101.30 and 206,784.24

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Solution

The fourth proportional to 365,035.56, 547,101.30 and 206,784.24 is: 309,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,035.56 : 547,101.30 = 206,784.24 : x
  2. Step 2: Convert to fraction form
    365,035.56/547,101.30 = 206,784.24/x
  3. Step 3: Cross multiply
    365,035.56x = 547,101.30 × 206,784.24
  4. Step 4: Simplify right side
    365,035.56x = 113,131,926,523.51
  5. Step 5: Solve for x
    x = 113,131,926,523.51/365,035.56
  6. Step 6: Final answer
    x = 309,920.29

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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.