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Finding the Fourth Proportional to 353,812.73, 488,256.74 and 200,849.58

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Solution

The fourth proportional to 353,812.73, 488,256.74 and 200,849.58 is: 277,169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,812.73 : 488,256.74 = 200,849.58 : x
  2. Step 2: Convert to fraction form
    353,812.73/488,256.74 = 200,849.58/x
  3. Step 3: Cross multiply
    353,812.73x = 488,256.74 × 200,849.58
  4. Step 4: Simplify right side
    353,812.73x = 98,066,160,910.11
  5. Step 5: Solve for x
    x = 98,066,160,910.11/353,812.73
  6. Step 6: Final answer
    x = 277,169.68

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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.