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Finding the Fourth Proportional to 413,680.05, 620,175.60 and 160,901.15

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Solution

The fourth proportional to 413,680.05, 620,175.60 and 160,901.15 is: 241,217.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,680.05 : 620,175.60 = 160,901.15 : x
  2. Step 2: Convert to fraction form
    413,680.05/620,175.60 = 160,901.15/x
  3. Step 3: Cross multiply
    413,680.05x = 620,175.60 × 160,901.15
  4. Step 4: Simplify right side
    413,680.05x = 99,786,964,141.06
  5. Step 5: Solve for x
    x = 99,786,964,141.06/413,680.05
  6. Step 6: Final answer
    x = 241,217.73

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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.