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Finding the Fourth Proportional to 475,571.50, 713,149.86 and 179,876.14

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Solution

The fourth proportional to 475,571.50, 713,149.86 and 179,876.14 is: 269,735.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,571.50 : 713,149.86 = 179,876.14 : x
  2. Step 2: Convert to fraction form
    475,571.50/713,149.86 = 179,876.14/x
  3. Step 3: Cross multiply
    475,571.50x = 713,149.86 × 179,876.14
  4. Step 4: Simplify right side
    475,571.50x = 128,278,644,058.34
  5. Step 5: Solve for x
    x = 128,278,644,058.34/475,571.50
  6. Step 6: Final answer
    x = 269,735.77

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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.