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Finding the Fourth Proportional to 741,403.84, 1,023,136.32 and 401,872

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Solution

The fourth proportional to 741,403.84, 1,023,136.32 and 401,872 is: 554,582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,403.84 : 1,023,136.32 = 401,872 : x
  2. Step 2: Convert to fraction form
    741,403.84/1,023,136.32 = 401,872/x
  3. Step 3: Cross multiply
    741,403.84x = 1,023,136.32 × 401,872
  4. Step 4: Simplify right side
    741,403.84x = 411,169,839,191.04
  5. Step 5: Solve for x
    x = 411,169,839,191.04/741,403.84
  6. Step 6: Final answer
    x = 554,582.83

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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.