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Finding the Fourth Proportional to 366,065.28, 505,178.64 and 204,916.32

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Solution

The fourth proportional to 366,065.28, 505,178.64 and 204,916.32 is: 282,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,065.28 : 505,178.64 = 204,916.32 : x
  2. Step 2: Convert to fraction form
    366,065.28/505,178.64 = 204,916.32/x
  3. Step 3: Cross multiply
    366,065.28x = 505,178.64 × 204,916.32
  4. Step 4: Simplify right side
    366,065.28x = 103,519,347,851.41
  5. Step 5: Solve for x
    x = 103,519,347,851.41/366,065.28
  6. Step 6: Final answer
    x = 282,789.31

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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.