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Finding the Fourth Proportional to 365,669.82, 504,625.48 and 204,514.40

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Solution

The fourth proportional to 365,669.82, 504,625.48 and 204,514.40 is: 282,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,669.82 : 504,625.48 = 204,514.40 : x
  2. Step 2: Convert to fraction form
    365,669.82/504,625.48 = 204,514.40/x
  3. Step 3: Cross multiply
    365,669.82x = 504,625.48 × 204,514.40
  4. Step 4: Simplify right side
    365,669.82x = 103,203,176,521.35
  5. Step 5: Solve for x
    x = 103,203,176,521.35/365,669.82
  6. Step 6: Final answer
    x = 282,230.50

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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.