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Finding the Fourth Proportional to 500,466.96, 690,694.02 and 285,639.48

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Solution

The fourth proportional to 500,466.96, 690,694.02 and 285,639.48 is: 394,210.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,466.96 : 690,694.02 = 285,639.48 : x
  2. Step 2: Convert to fraction form
    500,466.96/690,694.02 = 285,639.48/x
  3. Step 3: Cross multiply
    500,466.96x = 690,694.02 × 285,639.48
  4. Step 4: Simplify right side
    500,466.96x = 197,289,480,711.91
  5. Step 5: Solve for x
    x = 197,289,480,711.91/500,466.96
  6. Step 6: Final answer
    x = 394,210.80

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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.