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Finding the Fourth Proportional to 365,997.96, 505,077.12 and 204,853

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Solution

The fourth proportional to 365,997.96, 505,077.12 and 204,853 is: 282,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,997.96 : 505,077.12 = 204,853 : x
  2. Step 2: Convert to fraction form
    365,997.96/505,077.12 = 204,853/x
  3. Step 3: Cross multiply
    365,997.96x = 505,077.12 × 204,853
  4. Step 4: Simplify right side
    365,997.96x = 103,466,563,263.36
  5. Step 5: Solve for x
    x = 103,466,563,263.36/365,997.96
  6. Step 6: Final answer
    x = 282,697.10

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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.