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Finding the Fourth Proportional to 416,694.80, 574,997.64 and 232,898.96

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Solution

The fourth proportional to 416,694.80, 574,997.64 and 232,898.96 is: 321,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,694.80 : 574,997.64 = 232,898.96 : x
  2. Step 2: Convert to fraction form
    416,694.80/574,997.64 = 232,898.96/x
  3. Step 3: Cross multiply
    416,694.80x = 574,997.64 × 232,898.96
  4. Step 4: Simplify right side
    416,694.80x = 133,916,352,358.45
  5. Step 5: Solve for x
    x = 133,916,352,358.45/416,694.80
  6. Step 6: Final answer
    x = 321,377.55

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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.