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Finding the Fourth Proportional to 653,530.30, 980,296.22 and 204,253.52

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Solution

The fourth proportional to 653,530.30, 980,296.22 and 204,253.52 is: 306,380.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,530.30 : 980,296.22 = 204,253.52 : x
  2. Step 2: Convert to fraction form
    653,530.30/980,296.22 = 204,253.52/x
  3. Step 3: Cross multiply
    653,530.30x = 980,296.22 × 204,253.52
  4. Step 4: Simplify right side
    653,530.30x = 200,228,953,552.09
  5. Step 5: Solve for x
    x = 200,228,953,552.09/653,530.30
  6. Step 6: Final answer
    x = 306,380.52

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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.