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Finding the Fourth Proportional to 821,088, 1,231,701.12 and 230,112

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Solution

The fourth proportional to 821,088, 1,231,701.12 and 230,112 is: 345,187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,088 : 1,231,701.12 = 230,112 : x
  2. Step 2: Convert to fraction form
    821,088/1,231,701.12 = 230,112/x
  3. Step 3: Cross multiply
    821,088x = 1,231,701.12 × 230,112
  4. Step 4: Simplify right side
    821,088x = 283,429,208,125.44
  5. Step 5: Solve for x
    x = 283,429,208,125.44/821,088
  6. Step 6: Final answer
    x = 345,187.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.