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Finding the Fourth Proportional to 366,071.14, 505,174.28 and 204,927.51

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Solution

The fourth proportional to 366,071.14, 505,174.28 and 204,927.51 is: 282,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,071.14 : 505,174.28 = 204,927.51 : x
  2. Step 2: Convert to fraction form
    366,071.14/505,174.28 = 204,927.51/x
  3. Step 3: Cross multiply
    366,071.14x = 505,174.28 × 204,927.51
  4. Step 4: Simplify right side
    366,071.14x = 103,524,106,291.81
  5. Step 5: Solve for x
    x = 103,524,106,291.81/366,071.14
  6. Step 6: Final answer
    x = 282,797.78

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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.