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Finding the Fourth Proportional to 420,943.68, 580,707.36 and 241,992

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Solution

The fourth proportional to 420,943.68, 580,707.36 and 241,992 is: 333,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,943.68 : 580,707.36 = 241,992 : x
  2. Step 2: Convert to fraction form
    420,943.68/580,707.36 = 241,992/x
  3. Step 3: Cross multiply
    420,943.68x = 580,707.36 × 241,992
  4. Step 4: Simplify right side
    420,943.68x = 140,526,535,461.12
  5. Step 5: Solve for x
    x = 140,526,535,461.12/420,943.68
  6. Step 6: Final answer
    x = 333,836.91

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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.