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Finding the Fourth Proportional to 475,816.74, 713,499.12 and 276,198.36

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Solution

The fourth proportional to 475,816.74, 713,499.12 and 276,198.36 is: 414,166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,816.74 : 713,499.12 = 276,198.36 : x
  2. Step 2: Convert to fraction form
    475,816.74/713,499.12 = 276,198.36/x
  3. Step 3: Cross multiply
    475,816.74x = 713,499.12 × 276,198.36
  4. Step 4: Simplify right side
    475,816.74x = 197,067,286,805.44
  5. Step 5: Solve for x
    x = 197,067,286,805.44/475,816.74
  6. Step 6: Final answer
    x = 414,166.36

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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.