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Finding the Fourth Proportional to 367,394.66, 507,000.18 and 206,245.56

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Solution

The fourth proportional to 367,394.66, 507,000.18 and 206,245.56 is: 284,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,394.66 : 507,000.18 = 206,245.56 : x
  2. Step 2: Convert to fraction form
    367,394.66/507,000.18 = 206,245.56/x
  3. Step 3: Cross multiply
    367,394.66x = 507,000.18 × 206,245.56
  4. Step 4: Simplify right side
    367,394.66x = 104,566,537,558.74
  5. Step 5: Solve for x
    x = 104,566,537,558.74/367,394.66
  6. Step 6: Final answer
    x = 284,616.38

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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.