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Finding the Fourth Proportional to 411,920.54, 617,911.92 and 127,639.77

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Solution

The fourth proportional to 411,920.54, 617,911.92 and 127,639.77 is: 191,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,920.54 : 617,911.92 = 127,639.77 : x
  2. Step 2: Convert to fraction form
    411,920.54/617,911.92 = 127,639.77/x
  3. Step 3: Cross multiply
    411,920.54x = 617,911.92 × 127,639.77
  4. Step 4: Simplify right side
    411,920.54x = 78,870,137,886.53
  5. Step 5: Solve for x
    x = 78,870,137,886.53/411,920.54
  6. Step 6: Final answer
    x = 191,469.30

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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.