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Finding the Fourth Proportional to 411,705.62, 617,471.85 and 116,148.50

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Solution

The fourth proportional to 411,705.62, 617,471.85 and 116,148.50 is: 174,198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,705.62 : 617,471.85 = 116,148.50 : x
  2. Step 2: Convert to fraction form
    411,705.62/617,471.85 = 116,148.50/x
  3. Step 3: Cross multiply
    411,705.62x = 617,471.85 × 116,148.50
  4. Step 4: Simplify right side
    411,705.62x = 71,718,429,169.73
  5. Step 5: Solve for x
    x = 71,718,429,169.73/411,705.62
  6. Step 6: Final answer
    x = 174,198.32

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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.