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Finding the Fourth Proportional to 652,514.70, 978,772.05 and 226,049.70

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Solution

The fourth proportional to 652,514.70, 978,772.05 and 226,049.70 is: 339,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,514.70 : 978,772.05 = 226,049.70 : x
  2. Step 2: Convert to fraction form
    652,514.70/978,772.05 = 226,049.70/x
  3. Step 3: Cross multiply
    652,514.70x = 978,772.05 × 226,049.70
  4. Step 4: Simplify right side
    652,514.70x = 221,251,128,270.89
  5. Step 5: Solve for x
    x = 221,251,128,270.89/652,514.70
  6. Step 6: Final answer
    x = 339,074.55

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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.