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Finding the Fourth Proportional to 365,814.86, 504,844.14 and 204,660.32

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Solution

The fourth proportional to 365,814.86, 504,844.14 and 204,660.32 is: 282,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,814.86 : 504,844.14 = 204,660.32 : x
  2. Step 2: Convert to fraction form
    365,814.86/504,844.14 = 204,660.32/x
  3. Step 3: Cross multiply
    365,814.86x = 504,844.14 × 204,660.32
  4. Step 4: Simplify right side
    365,814.86x = 103,321,563,242.53
  5. Step 5: Solve for x
    x = 103,321,563,242.53/365,814.86
  6. Step 6: Final answer
    x = 282,442.23

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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.