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Finding the Fourth Proportional to 500,402.86, 690,605.20 and 285,575.22

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Solution

The fourth proportional to 500,402.86, 690,605.20 and 285,575.22 is: 394,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,402.86 : 690,605.20 = 285,575.22 : x
  2. Step 2: Convert to fraction form
    500,402.86/690,605.20 = 285,575.22/x
  3. Step 3: Cross multiply
    500,402.86x = 690,605.20 × 285,575.22
  4. Step 4: Simplify right side
    500,402.86x = 197,219,731,923.14
  5. Step 5: Solve for x
    x = 197,219,731,923.14/500,402.86
  6. Step 6: Final answer
    x = 394,121.91

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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.