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Finding the Fourth Proportional to 475,297.40, 713,054.10 and 159,786.20

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Solution

The fourth proportional to 475,297.40, 713,054.10 and 159,786.20 is: 239,715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,297.40 : 713,054.10 = 159,786.20 : x
  2. Step 2: Convert to fraction form
    475,297.40/713,054.10 = 159,786.20/x
  3. Step 3: Cross multiply
    475,297.40x = 713,054.10 × 159,786.20
  4. Step 4: Simplify right side
    475,297.40x = 113,936,205,033.42
  5. Step 5: Solve for x
    x = 113,936,205,033.42/475,297.40
  6. Step 6: Final answer
    x = 239,715.61

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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.