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Finding the Fourth Proportional to 366,434.38, 505,673.28 and 205,288.90

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Solution

The fourth proportional to 366,434.38, 505,673.28 and 205,288.90 is: 283,295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,434.38 : 505,673.28 = 205,288.90 : x
  2. Step 2: Convert to fraction form
    366,434.38/505,673.28 = 205,288.90/x
  3. Step 3: Cross multiply
    366,434.38x = 505,673.28 × 205,288.90
  4. Step 4: Simplify right side
    366,434.38x = 103,809,111,410.59
  5. Step 5: Solve for x
    x = 103,809,111,410.59/366,434.38
  6. Step 6: Final answer
    x = 283,295.23

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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.