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Finding the Fourth Proportional to 683,832.30, 943,724.70 and 411,985.77

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Solution

The fourth proportional to 683,832.30, 943,724.70 and 411,985.77 is: 568,562.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,832.30 : 943,724.70 = 411,985.77 : x
  2. Step 2: Convert to fraction form
    683,832.30/943,724.70 = 411,985.77/x
  3. Step 3: Cross multiply
    683,832.30x = 943,724.70 × 411,985.77
  4. Step 4: Simplify right side
    683,832.30x = 388,801,147,197.52
  5. Step 5: Solve for x
    x = 388,801,147,197.52/683,832.30
  6. Step 6: Final answer
    x = 568,562.13

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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.