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Finding the Fourth Proportional to 500,416.84, 690,624.54 and 285,589.24

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Solution

The fourth proportional to 500,416.84, 690,624.54 and 285,589.24 is: 394,141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,416.84 : 690,624.54 = 285,589.24 : x
  2. Step 2: Convert to fraction form
    500,416.84/690,624.54 = 285,589.24/x
  3. Step 3: Cross multiply
    500,416.84x = 690,624.54 × 285,589.24
  4. Step 4: Simplify right side
    500,416.84x = 197,234,937,503.95
  5. Step 5: Solve for x
    x = 197,234,937,503.95/500,416.84
  6. Step 6: Final answer
    x = 394,141.29

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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.