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Finding the Fourth Proportional to 652,896.90, 978,951.69 and 298,209.24

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Solution

The fourth proportional to 652,896.90, 978,951.69 and 298,209.24 is: 447,134.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,896.90 : 978,951.69 = 298,209.24 : x
  2. Step 2: Convert to fraction form
    652,896.90/978,951.69 = 298,209.24/x
  3. Step 3: Cross multiply
    652,896.90x = 978,951.69 × 298,209.24
  4. Step 4: Simplify right side
    652,896.90x = 291,932,439,471.62
  5. Step 5: Solve for x
    x = 291,932,439,471.62/652,896.90
  6. Step 6: Final answer
    x = 447,134.06

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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.