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Finding the Fourth Proportional to 404,665.40, 606,998.10 and 194,252.60

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Solution

The fourth proportional to 404,665.40, 606,998.10 and 194,252.60 is: 291,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,665.40 : 606,998.10 = 194,252.60 : x
  2. Step 2: Convert to fraction form
    404,665.40/606,998.10 = 194,252.60/x
  3. Step 3: Cross multiply
    404,665.40x = 606,998.10 × 194,252.60
  4. Step 4: Simplify right side
    404,665.40x = 117,910,959,120.06
  5. Step 5: Solve for x
    x = 117,910,959,120.06/404,665.40
  6. Step 6: Final answer
    x = 291,378.90

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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.