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Finding the Fourth Proportional to 365,648.58, 504,593.61 and 204,502.98

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Solution

The fourth proportional to 365,648.58, 504,593.61 and 204,502.98 is: 282,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,648.58 : 504,593.61 = 204,502.98 : x
  2. Step 2: Convert to fraction form
    365,648.58/504,593.61 = 204,502.98/x
  3. Step 3: Cross multiply
    365,648.58x = 504,593.61 × 204,502.98
  4. Step 4: Simplify right side
    365,648.58x = 103,190,896,933.96
  5. Step 5: Solve for x
    x = 103,190,896,933.96/365,648.58
  6. Step 6: Final answer
    x = 282,213.31

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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.