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Finding the Fourth Proportional to 344,506.95, 475,394.90 and 189,469.17

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Solution

The fourth proportional to 344,506.95, 475,394.90 and 189,469.17 is: 261,453.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,506.95 : 475,394.90 = 189,469.17 : x
  2. Step 2: Convert to fraction form
    344,506.95/475,394.90 = 189,469.17/x
  3. Step 3: Cross multiply
    344,506.95x = 475,394.90 × 189,469.17
  4. Step 4: Simplify right side
    344,506.95x = 90,072,676,177.89
  5. Step 5: Solve for x
    x = 90,072,676,177.89/344,506.95
  6. Step 6: Final answer
    x = 261,453.87

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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.