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Finding the Fourth Proportional to 741,644.16, 1,023,489 and 419,402.26

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Solution

The fourth proportional to 741,644.16, 1,023,489 and 419,402.26 is: 578,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,644.16 : 1,023,489 = 419,402.26 : x
  2. Step 2: Convert to fraction form
    741,644.16/1,023,489 = 419,402.26/x
  3. Step 3: Cross multiply
    741,644.16x = 1,023,489 × 419,402.26
  4. Step 4: Simplify right side
    741,644.16x = 429,253,599,685.14
  5. Step 5: Solve for x
    x = 429,253,599,685.14/741,644.16
  6. Step 6: Final answer
    x = 578,786.46

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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.