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Finding the Fourth Proportional to 546,951.72, 820,514.34 and 231,411

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Solution

The fourth proportional to 546,951.72, 820,514.34 and 231,411 is: 347,153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,951.72 : 820,514.34 = 231,411 : x
  2. Step 2: Convert to fraction form
    546,951.72/820,514.34 = 231,411/x
  3. Step 3: Cross multiply
    546,951.72x = 820,514.34 × 231,411
  4. Step 4: Simplify right side
    546,951.72x = 189,876,043,933.74
  5. Step 5: Solve for x
    x = 189,876,043,933.74/546,951.72
  6. Step 6: Final answer
    x = 347,153.21

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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.