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Finding the Fourth Proportional to 399,648.90, 599,768.56 and 189,286.82

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Solution

The fourth proportional to 399,648.90, 599,768.56 and 189,286.82 is: 284,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,648.90 : 599,768.56 = 189,286.82 : x
  2. Step 2: Convert to fraction form
    399,648.90/599,768.56 = 189,286.82/x
  3. Step 3: Cross multiply
    399,648.90x = 599,768.56 × 189,286.82
  4. Step 4: Simplify right side
    399,648.90x = 113,528,283,458.38
  5. Step 5: Solve for x
    x = 113,528,283,458.38/399,648.90
  6. Step 6: Final answer
    x = 284,070.05

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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.