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Finding the Fourth Proportional to 284,356.74, 426,469.50 and 106,881.69

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Solution

The fourth proportional to 284,356.74, 426,469.50 and 106,881.69 is: 160,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,356.74 : 426,469.50 = 106,881.69 : x
  2. Step 2: Convert to fraction form
    284,356.74/426,469.50 = 106,881.69/x
  3. Step 3: Cross multiply
    284,356.74x = 426,469.50 × 106,881.69
  4. Step 4: Simplify right side
    284,356.74x = 45,581,780,893.46
  5. Step 5: Solve for x
    x = 45,581,780,893.46/284,356.74
  6. Step 6: Final answer
    x = 160,297.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.