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Finding the Fourth Proportional to 329,219.43, 493,858.31 and 92,564.16

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Solution

The fourth proportional to 329,219.43, 493,858.31 and 92,564.16 is: 138,854.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,219.43 : 493,858.31 = 92,564.16 : x
  2. Step 2: Convert to fraction form
    329,219.43/493,858.31 = 92,564.16/x
  3. Step 3: Cross multiply
    329,219.43x = 493,858.31 × 92,564.16
  4. Step 4: Simplify right side
    329,219.43x = 45,713,579,161.35
  5. Step 5: Solve for x
    x = 45,713,579,161.35/329,219.43
  6. Step 6: Final answer
    x = 138,854.44

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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.