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Finding the Fourth Proportional to 353,919.98, 488,392.31 and 200,938.11

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Solution

The fourth proportional to 353,919.98, 488,392.31 and 200,938.11 is: 277,284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,919.98 : 488,392.31 = 200,938.11 : x
  2. Step 2: Convert to fraction form
    353,919.98/488,392.31 = 200,938.11/x
  3. Step 3: Cross multiply
    353,919.98x = 488,392.31 × 200,938.11
  4. Step 4: Simplify right side
    353,919.98x = 98,136,627,709.93
  5. Step 5: Solve for x
    x = 98,136,627,709.93/353,919.98
  6. Step 6: Final answer
    x = 277,284.79

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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.