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Finding the Fourth Proportional to 365,734.82, 504,738.06 and 204,617.72

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Solution

The fourth proportional to 365,734.82, 504,738.06 and 204,617.72 is: 282,385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,734.82 : 504,738.06 = 204,617.72 : x
  2. Step 2: Convert to fraction form
    365,734.82/504,738.06 = 204,617.72/x
  3. Step 3: Cross multiply
    365,734.82x = 504,738.06 × 204,617.72
  4. Step 4: Simplify right side
    365,734.82x = 103,278,351,034.42
  5. Step 5: Solve for x
    x = 103,278,351,034.42/365,734.82
  6. Step 6: Final answer
    x = 282,385.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.