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Finding the Fourth Proportional to 429,951.31, 644,941.54 and 114,408.52

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Solution

The fourth proportional to 429,951.31, 644,941.54 and 114,408.52 is: 171,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,951.31 : 644,941.54 = 114,408.52 : x
  2. Step 2: Convert to fraction form
    429,951.31/644,941.54 = 114,408.52/x
  3. Step 3: Cross multiply
    429,951.31x = 644,941.54 × 114,408.52
  4. Step 4: Simplify right side
    429,951.31x = 73,786,805,608.58
  5. Step 5: Solve for x
    x = 73,786,805,608.58/429,951.31
  6. Step 6: Final answer
    x = 171,616.66

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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.