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Finding the Fourth Proportional to 411,758.29, 617,387.14 and 171,581.95

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Solution

The fourth proportional to 411,758.29, 617,387.14 and 171,581.95 is: 257,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,758.29 : 617,387.14 = 171,581.95 : x
  2. Step 2: Convert to fraction form
    411,758.29/617,387.14 = 171,581.95/x
  3. Step 3: Cross multiply
    411,758.29x = 617,387.14 × 171,581.95
  4. Step 4: Simplify right side
    411,758.29x = 105,932,489,386.12
  5. Step 5: Solve for x
    x = 105,932,489,386.12/411,758.29
  6. Step 6: Final answer
    x = 257,268.63

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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.