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Finding the Fourth Proportional to 613,508.26, 920,355.27 and 192,744.58

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Solution

The fourth proportional to 613,508.26, 920,355.27 and 192,744.58 is: 289,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,508.26 : 920,355.27 = 192,744.58 : x
  2. Step 2: Convert to fraction form
    613,508.26/920,355.27 = 192,744.58/x
  3. Step 3: Cross multiply
    613,508.26x = 920,355.27 × 192,744.58
  4. Step 4: Simplify right side
    613,508.26x = 177,393,489,966.94
  5. Step 5: Solve for x
    x = 177,393,489,966.94/613,508.26
  6. Step 6: Final answer
    x = 289,146.05

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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.