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Finding the Fourth Proportional to 500,537.90, 690,753.45 and 285,673.64

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Solution

The fourth proportional to 500,537.90, 690,753.45 and 285,673.64 is: 394,235.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,537.90 : 690,753.45 = 285,673.64 : x
  2. Step 2: Convert to fraction form
    500,537.90/690,753.45 = 285,673.64/x
  3. Step 3: Cross multiply
    500,537.90x = 690,753.45 × 285,673.64
  4. Step 4: Simplify right side
    500,537.90x = 197,330,052,404.06
  5. Step 5: Solve for x
    x = 197,330,052,404.06/500,537.90
  6. Step 6: Final answer
    x = 394,235.99

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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.