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Finding the Fourth Proportional to 654,032, 980,518.44 and 204,521.36

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Solution

The fourth proportional to 654,032, 980,518.44 and 204,521.36 is: 306,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,032 : 980,518.44 = 204,521.36 : x
  2. Step 2: Convert to fraction form
    654,032/980,518.44 = 204,521.36/x
  3. Step 3: Cross multiply
    654,032x = 980,518.44 × 204,521.36
  4. Step 4: Simplify right side
    654,032x = 200,536,964,853.88
  5. Step 5: Solve for x
    x = 200,536,964,853.88/654,032
  6. Step 6: Final answer
    x = 306,616.44

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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.