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Finding the Fourth Proportional to 365,653.83, 504,599.38 and 204,508.76

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Solution

The fourth proportional to 365,653.83, 504,599.38 and 204,508.76 is: 282,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,653.83 : 504,599.38 = 204,508.76 : x
  2. Step 2: Convert to fraction form
    365,653.83/504,599.38 = 204,508.76/x
  3. Step 3: Cross multiply
    365,653.83x = 504,599.38 × 204,508.76
  4. Step 4: Simplify right side
    365,653.83x = 103,194,991,233.21
  5. Step 5: Solve for x
    x = 103,194,991,233.21/365,653.83
  6. Step 6: Final answer
    x = 282,220.45

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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.