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Finding the Fourth Proportional to 295,571.77, 407,844.91 and 166,491.79

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Solution

The fourth proportional to 295,571.77, 407,844.91 and 166,491.79 is: 229,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,571.77 : 407,844.91 = 166,491.79 : x
  2. Step 2: Convert to fraction form
    295,571.77/407,844.91 = 166,491.79/x
  3. Step 3: Cross multiply
    295,571.77x = 407,844.91 × 166,491.79
  4. Step 4: Simplify right side
    295,571.77x = 67,902,829,108.29
  5. Step 5: Solve for x
    x = 67,902,829,108.29/295,571.77
  6. Step 6: Final answer
    x = 229,733.81

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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.