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Finding the Fourth Proportional to 367,418.75, 507,009.83 and 206,242.65

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Solution

The fourth proportional to 367,418.75, 507,009.83 and 206,242.65 is: 284,599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,418.75 : 507,009.83 = 206,242.65 : x
  2. Step 2: Convert to fraction form
    367,418.75/507,009.83 = 206,242.65/x
  3. Step 3: Cross multiply
    367,418.75x = 507,009.83 × 206,242.65
  4. Step 4: Simplify right side
    367,418.75x = 104,567,049,884.04
  5. Step 5: Solve for x
    x = 104,567,049,884.04/367,418.75
  6. Step 6: Final answer
    x = 284,599.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.