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Finding the Fourth Proportional to 284,917.70, 427,377.26 and 116,438.00

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Solution

The fourth proportional to 284,917.70, 427,377.26 and 116,438.00 is: 174,657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,917.70 : 427,377.26 = 116,438.00 : x
  2. Step 2: Convert to fraction form
    284,917.70/427,377.26 = 116,438.00/x
  3. Step 3: Cross multiply
    284,917.70x = 427,377.26 × 116,438.00
  4. Step 4: Simplify right side
    284,917.70x = 49,762,951,554.09
  5. Step 5: Solve for x
    x = 49,762,951,554.09/284,917.70
  6. Step 6: Final answer
    x = 174,657.28

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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.