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Finding the Fourth Proportional to 488,921.57, 674,753.38 and 274,103.16

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Solution

The fourth proportional to 488,921.57, 674,753.38 and 274,103.16 is: 378,285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,921.57 : 674,753.38 = 274,103.16 : x
  2. Step 2: Convert to fraction form
    488,921.57/674,753.38 = 274,103.16/x
  3. Step 3: Cross multiply
    488,921.57x = 674,753.38 × 274,103.16
  4. Step 4: Simplify right side
    488,921.57x = 184,952,032,993.42
  5. Step 5: Solve for x
    x = 184,952,032,993.42/488,921.57
  6. Step 6: Final answer
    x = 378,285.69

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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.