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Finding the Fourth Proportional to 655,313.36, 983,141.72 and 206,016.08

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Solution

The fourth proportional to 655,313.36, 983,141.72 and 206,016.08 is: 309,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,313.36 : 983,141.72 = 206,016.08 : x
  2. Step 2: Convert to fraction form
    655,313.36/983,141.72 = 206,016.08/x
  3. Step 3: Cross multiply
    655,313.36x = 983,141.72 × 206,016.08
  4. Step 4: Simplify right side
    655,313.36x = 202,543,003,238.86
  5. Step 5: Solve for x
    x = 202,543,003,238.86/655,313.36
  6. Step 6: Final answer
    x = 309,078.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.