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Finding the Fourth Proportional to 403,790.30, 605,539.65 and 204,044.30

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Solution

The fourth proportional to 403,790.30, 605,539.65 and 204,044.30 is: 305,992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,790.30 : 605,539.65 = 204,044.30 : x
  2. Step 2: Convert to fraction form
    403,790.30/605,539.65 = 204,044.30/x
  3. Step 3: Cross multiply
    403,790.30x = 605,539.65 × 204,044.30
  4. Step 4: Simplify right side
    403,790.30x = 123,556,914,006.50
  5. Step 5: Solve for x
    x = 123,556,914,006.50/403,790.30
  6. Step 6: Final answer
    x = 305,992.77

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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.