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Finding the Fourth Proportional to 329,140.67, 493,729.43 and 92,464.88

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Solution

The fourth proportional to 329,140.67, 493,729.43 and 92,464.88 is: 138,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,140.67 : 493,729.43 = 92,464.88 : x
  2. Step 2: Convert to fraction form
    329,140.67/493,729.43 = 92,464.88/x
  3. Step 3: Cross multiply
    329,140.67x = 493,729.43 × 92,464.88
  4. Step 4: Simplify right side
    329,140.67x = 45,652,629,566.45
  5. Step 5: Solve for x
    x = 45,652,629,566.45/329,140.67
  6. Step 6: Final answer
    x = 138,702.49

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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.