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Finding the Fourth Proportional to 295,576.24, 407,872.08 and 166,509.07

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Solution

The fourth proportional to 295,576.24, 407,872.08 and 166,509.07 is: 229,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,576.24 : 407,872.08 = 166,509.07 : x
  2. Step 2: Convert to fraction form
    295,576.24/407,872.08 = 166,509.07/x
  3. Step 3: Cross multiply
    295,576.24x = 407,872.08 × 166,509.07
  4. Step 4: Simplify right side
    295,576.24x = 67,914,400,168.39
  5. Step 5: Solve for x
    x = 67,914,400,168.39/295,576.24
  6. Step 6: Final answer
    x = 229,769.48

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