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Finding the Fourth Proportional to 653,945.82, 980,389.35 and 204,435.24

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Solution

The fourth proportional to 653,945.82, 980,389.35 and 204,435.24 is: 306,487.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,945.82 : 980,389.35 = 204,435.24 : x
  2. Step 2: Convert to fraction form
    653,945.82/980,389.35 = 204,435.24/x
  3. Step 3: Cross multiply
    653,945.82x = 980,389.35 × 204,435.24
  4. Step 4: Simplify right side
    653,945.82x = 200,426,132,060.69
  5. Step 5: Solve for x
    x = 200,426,132,060.69/653,945.82
  6. Step 6: Final answer
    x = 306,487.37

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