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Finding the Fourth Proportional to 284,223.83, 426,122.48 and 171,881.03

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Solution

The fourth proportional to 284,223.83, 426,122.48 and 171,881.03 is: 257,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,223.83 : 426,122.48 = 171,881.03 : x
  2. Step 2: Convert to fraction form
    284,223.83/426,122.48 = 171,881.03/x
  3. Step 3: Cross multiply
    284,223.83x = 426,122.48 × 171,881.03
  4. Step 4: Simplify right side
    284,223.83x = 73,242,372,263.56
  5. Step 5: Solve for x
    x = 73,242,372,263.56/284,223.83
  6. Step 6: Final answer
    x = 257,692.59

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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.