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Finding the Fourth Proportional to 329,053.23, 493,609.96 and 92,394.31

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Solution

The fourth proportional to 329,053.23, 493,609.96 and 92,394.31 is: 138,599.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,053.23 : 493,609.96 = 92,394.31 : x
  2. Step 2: Convert to fraction form
    329,053.23/493,609.96 = 92,394.31/x
  3. Step 3: Cross multiply
    329,053.23x = 493,609.96 × 92,394.31
  4. Step 4: Simplify right side
    329,053.23x = 45,606,753,128.34
  5. Step 5: Solve for x
    x = 45,606,753,128.34/329,053.23
  6. Step 6: Final answer
    x = 138,599.93

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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.