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Finding the Fourth Proportional to 365,746.46, 504,749.14 and 204,604.20

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Solution

The fourth proportional to 365,746.46, 504,749.14 and 204,604.20 is: 282,364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,746.46 : 504,749.14 = 204,604.20 : x
  2. Step 2: Convert to fraction form
    365,746.46/504,749.14 = 204,604.20/x
  3. Step 3: Cross multiply
    365,746.46x = 504,749.14 × 204,604.20
  4. Step 4: Simplify right side
    365,746.46x = 103,273,793,990.39
  5. Step 5: Solve for x
    x = 103,273,793,990.39/365,746.46
  6. Step 6: Final answer
    x = 282,364.44

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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.