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Finding the Fourth Proportional to 675,114.80, 1,012,542.60 and 201,815.60

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Solution

The fourth proportional to 675,114.80, 1,012,542.60 and 201,815.60 is: 302,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,114.80 : 1,012,542.60 = 201,815.60 : x
  2. Step 2: Convert to fraction form
    675,114.80/1,012,542.60 = 201,815.60/x
  3. Step 3: Cross multiply
    675,114.80x = 1,012,542.60 × 201,815.60
  4. Step 4: Simplify right side
    675,114.80x = 204,346,892,344.56
  5. Step 5: Solve for x
    x = 204,346,892,344.56/675,114.80
  6. Step 6: Final answer
    x = 302,684.66

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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.