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Finding the Fourth Proportional to 329,141.91, 493,731.32 and 92,466.14

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Solution

The fourth proportional to 329,141.91, 493,731.32 and 92,466.14 is: 138,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,141.91 : 493,731.32 = 92,466.14 : x
  2. Step 2: Convert to fraction form
    329,141.91/493,731.32 = 92,466.14/x
  3. Step 3: Cross multiply
    329,141.91x = 493,731.32 × 92,466.14
  4. Step 4: Simplify right side
    329,141.91x = 45,653,429,983.94
  5. Step 5: Solve for x
    x = 45,653,429,983.94/329,141.91
  6. Step 6: Final answer
    x = 138,704.39

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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.