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Finding the Fourth Proportional to 407,099.65, 610,675.62 and 107,572.58

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Solution

The fourth proportional to 407,099.65, 610,675.62 and 107,572.58 is: 161,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,099.65 : 610,675.62 = 107,572.58 : x
  2. Step 2: Convert to fraction form
    407,099.65/610,675.62 = 107,572.58/x
  3. Step 3: Cross multiply
    407,099.65x = 610,675.62 × 107,572.58
  4. Step 4: Simplify right side
    407,099.65x = 65,691,951,986.50
  5. Step 5: Solve for x
    x = 65,691,951,986.50/407,099.65
  6. Step 6: Final answer
    x = 161,365.78

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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.