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Finding the Fourth Proportional to 297,803.87, 411,065.12 and 190,662.47

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Solution

The fourth proportional to 297,803.87, 411,065.12 and 190,662.47 is: 263,175.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,803.87 : 411,065.12 = 190,662.47 : x
  2. Step 2: Convert to fraction form
    297,803.87/411,065.12 = 190,662.47/x
  3. Step 3: Cross multiply
    297,803.87x = 411,065.12 × 190,662.47
  4. Step 4: Simplify right side
    297,803.87x = 78,374,690,156.73
  5. Step 5: Solve for x
    x = 78,374,690,156.73/297,803.87
  6. Step 6: Final answer
    x = 263,175.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.