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Finding the Fourth Proportional to 735,231.18, 1,014,611.22 and 412,918.14

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Solution

The fourth proportional to 735,231.18, 1,014,611.22 and 412,918.14 is: 569,822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,231.18 : 1,014,611.22 = 412,918.14 : x
  2. Step 2: Convert to fraction form
    735,231.18/1,014,611.22 = 412,918.14/x
  3. Step 3: Cross multiply
    735,231.18x = 1,014,611.22 × 412,918.14
  4. Step 4: Simplify right side
    735,231.18x = 418,951,377,785.53
  5. Step 5: Solve for x
    x = 418,951,377,785.53/735,231.18
  6. Step 6: Final answer
    x = 569,822.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.