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Finding the Fourth Proportional to 411,489.81, 617,497.14 and 174,832.56

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Solution

The fourth proportional to 411,489.81, 617,497.14 and 174,832.56 is: 262,360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,489.81 : 617,497.14 = 174,832.56 : x
  2. Step 2: Convert to fraction form
    411,489.81/617,497.14 = 174,832.56/x
  3. Step 3: Cross multiply
    411,489.81x = 617,497.14 × 174,832.56
  4. Step 4: Simplify right side
    411,489.81x = 107,958,605,778.88
  5. Step 5: Solve for x
    x = 107,958,605,778.88/411,489.81
  6. Step 6: Final answer
    x = 262,360.34

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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.