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Finding the Fourth Proportional to 340,718.13, 470,200.73 and 189,824.85

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Solution

The fourth proportional to 340,718.13, 470,200.73 and 189,824.85 is: 261,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,718.13 : 470,200.73 = 189,824.85 : x
  2. Step 2: Convert to fraction form
    340,718.13/470,200.73 = 189,824.85/x
  3. Step 3: Cross multiply
    340,718.13x = 470,200.73 × 189,824.85
  4. Step 4: Simplify right side
    340,718.13x = 89,255,783,042.14
  5. Step 5: Solve for x
    x = 89,255,783,042.14/340,718.13
  6. Step 6: Final answer
    x = 261,963.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.