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Finding the Fourth Proportional to 284,916.66, 427,217.24 and 116,555.28

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Solution

The fourth proportional to 284,916.66, 427,217.24 and 116,555.28 is: 174,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,916.66 : 427,217.24 = 116,555.28 : x
  2. Step 2: Convert to fraction form
    284,916.66/427,217.24 = 116,555.28/x
  3. Step 3: Cross multiply
    284,916.66x = 427,217.24 × 116,555.28
  4. Step 4: Simplify right side
    284,916.66x = 49,794,425,029.03
  5. Step 5: Solve for x
    x = 49,794,425,029.03/284,916.66
  6. Step 6: Final answer
    x = 174,768.39

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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.