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Finding the Fourth Proportional to 411,753.68, 617,380.21 and 171,577.34

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Solution

The fourth proportional to 411,753.68, 617,380.21 and 171,577.34 is: 257,261.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,753.68 : 617,380.21 = 171,577.34 : x
  2. Step 2: Convert to fraction form
    411,753.68/617,380.21 = 171,577.34/x
  3. Step 3: Cross multiply
    411,753.68x = 617,380.21 × 171,577.34
  4. Step 4: Simplify right side
    411,753.68x = 105,928,453,643.19
  5. Step 5: Solve for x
    x = 105,928,453,643.19/411,753.68
  6. Step 6: Final answer
    x = 257,261.71

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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.