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Finding the Fourth Proportional to 353,100.57, 487,276.74 and 200,167.60

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Solution

The fourth proportional to 353,100.57, 487,276.74 and 200,167.60 is: 276,230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,100.57 : 487,276.74 = 200,167.60 : x
  2. Step 2: Convert to fraction form
    353,100.57/487,276.74 = 200,167.60/x
  3. Step 3: Cross multiply
    353,100.57x = 487,276.74 × 200,167.60
  4. Step 4: Simplify right side
    353,100.57x = 97,537,015,581.62
  5. Step 5: Solve for x
    x = 97,537,015,581.62/353,100.57
  6. Step 6: Final answer
    x = 276,230.13

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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.