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Finding the Fourth Proportional to 407,622.87, 610,878.33 and 154,767.96

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Solution

The fourth proportional to 407,622.87, 610,878.33 and 154,767.96 is: 231,940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,622.87 : 610,878.33 = 154,767.96 : x
  2. Step 2: Convert to fraction form
    407,622.87/610,878.33 = 154,767.96/x
  3. Step 3: Cross multiply
    407,622.87x = 610,878.33 × 154,767.96
  4. Step 4: Simplify right side
    407,622.87x = 94,544,392,942.31
  5. Step 5: Solve for x
    x = 94,544,392,942.31/407,622.87
  6. Step 6: Final answer
    x = 231,940.85

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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.