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Finding the Fourth Proportional to 652,116.80, 978,178.40 and 296,882.24

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Solution

The fourth proportional to 652,116.80, 978,178.40 and 296,882.24 is: 445,324.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,116.80 : 978,178.40 = 296,882.24 : x
  2. Step 2: Convert to fraction form
    652,116.80/978,178.40 = 296,882.24/x
  3. Step 3: Cross multiply
    652,116.80x = 978,178.40 × 296,882.24
  4. Step 4: Simplify right side
    652,116.80x = 290,403,794,511.62
  5. Step 5: Solve for x
    x = 290,403,794,511.62/652,116.80
  6. Step 6: Final answer
    x = 445,324.82

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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.