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Finding the Fourth Proportional to 329,675.65, 494,349.37 and 105,006.97

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Solution

The fourth proportional to 329,675.65, 494,349.37 and 105,006.97 is: 157,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,675.65 : 494,349.37 = 105,006.97 : x
  2. Step 2: Convert to fraction form
    329,675.65/494,349.37 = 105,006.97/x
  3. Step 3: Cross multiply
    329,675.65x = 494,349.37 × 105,006.97
  4. Step 4: Simplify right side
    329,675.65x = 51,910,129,465.11
  5. Step 5: Solve for x
    x = 51,910,129,465.11/329,675.65
  6. Step 6: Final answer
    x = 157,458.18

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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.