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Finding the Fourth Proportional to 411,616.92, 617,417.82 and 112,092.96

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Solution

The fourth proportional to 411,616.92, 617,417.82 and 112,092.96 is: 168,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,616.92 : 617,417.82 = 112,092.96 : x
  2. Step 2: Convert to fraction form
    411,616.92/617,417.82 = 112,092.96/x
  3. Step 3: Cross multiply
    411,616.92x = 617,417.82 × 112,092.96
  4. Step 4: Simplify right side
    411,616.92x = 69,208,191,000.55
  5. Step 5: Solve for x
    x = 69,208,191,000.55/411,616.92
  6. Step 6: Final answer
    x = 168,137.38

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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.