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Finding the Fourth Proportional to 294,989.91, 407,082.27 and 167,657.10

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Solution

The fourth proportional to 294,989.91, 407,082.27 and 167,657.10 is: 231,364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,989.91 : 407,082.27 = 167,657.10 : x
  2. Step 2: Convert to fraction form
    294,989.91/407,082.27 = 167,657.10/x
  3. Step 3: Cross multiply
    294,989.91x = 407,082.27 × 167,657.10
  4. Step 4: Simplify right side
    294,989.91x = 68,250,232,849.62
  5. Step 5: Solve for x
    x = 68,250,232,849.62/294,989.91
  6. Step 6: Final answer
    x = 231,364.63

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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.