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Finding the Fourth Proportional to 471,033.20, 705,772.20 and 401,049.20

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Solution

The fourth proportional to 471,033.20, 705,772.20 and 401,049.20 is: 600,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,033.20 : 705,772.20 = 401,049.20 : x
  2. Step 2: Convert to fraction form
    471,033.20/705,772.20 = 401,049.20/x
  3. Step 3: Cross multiply
    471,033.20x = 705,772.20 × 401,049.20
  4. Step 4: Simplify right side
    471,033.20x = 283,049,376,192.24
  5. Step 5: Solve for x
    x = 283,049,376,192.24/471,033.20
  6. Step 6: Final answer
    x = 600,911.73

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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.