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Finding the Fourth Proportional to 274,379.20, 411,776.16 and 116,718.64

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Solution

The fourth proportional to 274,379.20, 411,776.16 and 116,718.64 is: 175,166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,379.20 : 411,776.16 = 116,718.64 : x
  2. Step 2: Convert to fraction form
    274,379.20/411,776.16 = 116,718.64/x
  3. Step 3: Cross multiply
    274,379.20x = 411,776.16 × 116,718.64
  4. Step 4: Simplify right side
    274,379.20x = 48,061,953,379.62
  5. Step 5: Solve for x
    x = 48,061,953,379.62/274,379.20
  6. Step 6: Final answer
    x = 175,166.17

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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.