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Finding the Fourth Proportional to 399,160.82, 599,045.79 and 146,680.58

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Solution

The fourth proportional to 399,160.82, 599,045.79 and 146,680.58 is: 220,132.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,160.82 : 599,045.79 = 146,680.58 : x
  2. Step 2: Convert to fraction form
    399,160.82/599,045.79 = 146,680.58/x
  3. Step 3: Cross multiply
    399,160.82x = 599,045.79 × 146,680.58
  4. Step 4: Simplify right side
    399,160.82x = 87,868,383,923.76
  5. Step 5: Solve for x
    x = 87,868,383,923.76/399,160.82
  6. Step 6: Final answer
    x = 220,132.79

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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.