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Finding the Fourth Proportional to 414,440.02, 621,735.18 and 171,281.49

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Solution

The fourth proportional to 414,440.02, 621,735.18 and 171,281.49 is: 256,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,440.02 : 621,735.18 = 171,281.49 : x
  2. Step 2: Convert to fraction form
    414,440.02/621,735.18 = 171,281.49/x
  3. Step 3: Cross multiply
    414,440.02x = 621,735.18 × 171,281.49
  4. Step 4: Simplify right side
    414,440.02x = 106,491,728,015.82
  5. Step 5: Solve for x
    x = 106,491,728,015.82/414,440.02
  6. Step 6: Final answer
    x = 256,953.29

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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.