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Finding the Fourth Proportional to 339,261.63, 508,117.35 and 161,893.20

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Solution

The fourth proportional to 339,261.63, 508,117.35 and 161,893.20 is: 242,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,261.63 : 508,117.35 = 161,893.20 : x
  2. Step 2: Convert to fraction form
    339,261.63/508,117.35 = 161,893.20/x
  3. Step 3: Cross multiply
    339,261.63x = 508,117.35 × 161,893.20
  4. Step 4: Simplify right side
    339,261.63x = 82,260,743,767.02
  5. Step 5: Solve for x
    x = 82,260,743,767.02/339,261.63
  6. Step 6: Final answer
    x = 242,469.93

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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.