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Finding the Fourth Proportional to 413,456.20, 620,357.10 and 133,059.40

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Solution

The fourth proportional to 413,456.20, 620,357.10 and 133,059.40 is: 199,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,456.20 : 620,357.10 = 133,059.40 : x
  2. Step 2: Convert to fraction form
    413,456.20/620,357.10 = 133,059.40/x
  3. Step 3: Cross multiply
    413,456.20x = 620,357.10 × 133,059.40
  4. Step 4: Simplify right side
    413,456.20x = 82,544,343,511.74
  5. Step 5: Solve for x
    x = 82,544,343,511.74/413,456.20
  6. Step 6: Final answer
    x = 199,644.71

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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.