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Finding the Fourth Proportional to 344,029.96, 474,761.82 and 193,128.04

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Solution

The fourth proportional to 344,029.96, 474,761.82 and 193,128.04 is: 266,516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,029.96 : 474,761.82 = 193,128.04 : x
  2. Step 2: Convert to fraction form
    344,029.96/474,761.82 = 193,128.04/x
  3. Step 3: Cross multiply
    344,029.96x = 474,761.82 × 193,128.04
  4. Step 4: Simplify right side
    344,029.96x = 91,689,819,763.43
  5. Step 5: Solve for x
    x = 91,689,819,763.43/344,029.96
  6. Step 6: Final answer
    x = 266,516.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.