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Finding the Fourth Proportional to 455,997.60, 684,035.28 and 119,082.96

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Solution

The fourth proportional to 455,997.60, 684,035.28 and 119,082.96 is: 178,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,997.60 : 684,035.28 = 119,082.96 : x
  2. Step 2: Convert to fraction form
    455,997.60/684,035.28 = 119,082.96/x
  3. Step 3: Cross multiply
    455,997.60x = 684,035.28 × 119,082.96
  4. Step 4: Simplify right side
    455,997.60x = 81,456,945,886.83
  5. Step 5: Solve for x
    x = 81,456,945,886.83/455,997.60
  6. Step 6: Final answer
    x = 178,634.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.