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Finding the Fourth Proportional to 475,990.02, 714,198.26 and 259,919.82

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Solution

The fourth proportional to 475,990.02, 714,198.26 and 259,919.82 is: 389,996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,990.02 : 714,198.26 = 259,919.82 : x
  2. Step 2: Convert to fraction form
    475,990.02/714,198.26 = 259,919.82/x
  3. Step 3: Cross multiply
    475,990.02x = 714,198.26 × 259,919.82
  4. Step 4: Simplify right side
    475,990.02x = 185,634,283,183.51
  5. Step 5: Solve for x
    x = 185,634,283,183.51/475,990.02
  6. Step 6: Final answer
    x = 389,996.17

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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.