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Finding the Fourth Proportional to 580,493.82, 870,405.46 and 225,092.64

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Solution

The fourth proportional to 580,493.82, 870,405.46 and 225,092.64 is: 337,508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,493.82 : 870,405.46 = 225,092.64 : x
  2. Step 2: Convert to fraction form
    580,493.82/870,405.46 = 225,092.64/x
  3. Step 3: Cross multiply
    580,493.82x = 870,405.46 × 225,092.64
  4. Step 4: Simplify right side
    580,493.82x = 195,921,862,861.81
  5. Step 5: Solve for x
    x = 195,921,862,861.81/580,493.82
  6. Step 6: Final answer
    x = 337,508.96

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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.