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Finding the Fourth Proportional to 284,997.60, 427,280.40 and 144,856.80

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Solution

The fourth proportional to 284,997.60, 427,280.40 and 144,856.80 is: 217,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,997.60 : 427,280.40 = 144,856.80 : x
  2. Step 2: Convert to fraction form
    284,997.60/427,280.40 = 144,856.80/x
  3. Step 3: Cross multiply
    284,997.60x = 427,280.40 × 144,856.80
  4. Step 4: Simplify right side
    284,997.60x = 61,894,471,446.72
  5. Step 5: Solve for x
    x = 61,894,471,446.72/284,997.60
  6. Step 6: Final answer
    x = 217,175.41

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Why These Related Problems?

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