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Finding the Fourth Proportional to 741,966.75, 1,023,914.25 and 419,669.91

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Solution

The fourth proportional to 741,966.75, 1,023,914.25 and 419,669.91 is: 579,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,966.75 : 1,023,914.25 = 419,669.91 : x
  2. Step 2: Convert to fraction form
    741,966.75/1,023,914.25 = 419,669.91/x
  3. Step 3: Cross multiply
    741,966.75x = 1,023,914.25 × 419,669.91
  4. Step 4: Simplify right side
    741,966.75x = 429,706,001,145.22
  5. Step 5: Solve for x
    x = 429,706,001,145.22/741,966.75
  6. Step 6: Final answer
    x = 579,144.55

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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.