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Finding the Fourth Proportional to 404,315.10, 606,387.60 and 204,447.60

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Solution

The fourth proportional to 404,315.10, 606,387.60 and 204,447.60 is: 306,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,315.10 : 606,387.60 = 204,447.60 : x
  2. Step 2: Convert to fraction form
    404,315.10/606,387.60 = 204,447.60/x
  3. Step 3: Cross multiply
    404,315.10x = 606,387.60 × 204,447.60
  4. Step 4: Simplify right side
    404,315.10x = 123,974,489,489.76
  5. Step 5: Solve for x
    x = 123,974,489,489.76/404,315.10
  6. Step 6: Final answer
    x = 306,628.39

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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.