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Finding the Fourth Proportional to 411,757.79, 617,386.39 and 171,581.45

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Solution

The fourth proportional to 411,757.79, 617,386.39 and 171,581.45 is: 257,267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,757.79 : 617,386.39 = 171,581.45 : x
  2. Step 2: Convert to fraction form
    411,757.79/617,386.39 = 171,581.45/x
  3. Step 3: Cross multiply
    411,757.79x = 617,386.39 × 171,581.45
  4. Step 4: Simplify right side
    411,757.79x = 105,932,052,006.47
  5. Step 5: Solve for x
    x = 105,932,052,006.47/411,757.79
  6. Step 6: Final answer
    x = 257,267.88

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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.