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Finding the Fourth Proportional to 367,690.73, 507,357.95 and 206,514.90

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Solution

The fourth proportional to 367,690.73, 507,357.95 and 206,514.90 is: 284,959.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,690.73 : 507,357.95 = 206,514.90 : x
  2. Step 2: Convert to fraction form
    367,690.73/507,357.95 = 206,514.90/x
  3. Step 3: Cross multiply
    367,690.73x = 507,357.95 × 206,514.90
  4. Step 4: Simplify right side
    367,690.73x = 104,776,975,275.88
  5. Step 5: Solve for x
    x = 104,776,975,275.88/367,690.73
  6. Step 6: Final answer
    x = 284,959.53

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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.