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Finding the Fourth Proportional to 404,296.80, 605,934.90 and 204,672.30

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Solution

The fourth proportional to 404,296.80, 605,934.90 and 204,672.30 is: 306,750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,296.80 : 605,934.90 = 204,672.30 : x
  2. Step 2: Convert to fraction form
    404,296.80/605,934.90 = 204,672.30/x
  3. Step 3: Cross multiply
    404,296.80x = 605,934.90 × 204,672.30
  4. Step 4: Simplify right side
    404,296.80x = 124,018,089,633.27
  5. Step 5: Solve for x
    x = 124,018,089,633.27/404,296.80
  6. Step 6: Final answer
    x = 306,750.11

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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.