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Finding the Fourth Proportional to 365,983.44, 505,057.08 and 204,838.47

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Solution

The fourth proportional to 365,983.44, 505,057.08 and 204,838.47 is: 282,677.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,983.44 : 505,057.08 = 204,838.47 : x
  2. Step 2: Convert to fraction form
    365,983.44/505,057.08 = 204,838.47/x
  3. Step 3: Cross multiply
    365,983.44x = 505,057.08 × 204,838.47
  4. Step 4: Simplify right side
    365,983.44x = 103,455,119,529.87
  5. Step 5: Solve for x
    x = 103,455,119,529.87/365,983.44
  6. Step 6: Final answer
    x = 282,677.05

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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.