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Finding the Fourth Proportional to 329,137.27, 493,724.36 and 92,461.50

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Solution

The fourth proportional to 329,137.27, 493,724.36 and 92,461.50 is: 138,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,137.27 : 493,724.36 = 92,461.50 : x
  2. Step 2: Convert to fraction form
    329,137.27/493,724.36 = 92,461.50/x
  3. Step 3: Cross multiply
    329,137.27x = 493,724.36 × 92,461.50
  4. Step 4: Simplify right side
    329,137.27x = 45,650,495,143.29
  5. Step 5: Solve for x
    x = 45,650,495,143.29/329,137.27
  6. Step 6: Final answer
    x = 138,697.43

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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.