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Finding the Fourth Proportional to 668,174.41, 1,002,409.04 and 194,896.81

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Solution

The fourth proportional to 668,174.41, 1,002,409.04 and 194,896.81 is: 292,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,174.41 : 1,002,409.04 = 194,896.81 : x
  2. Step 2: Convert to fraction form
    668,174.41/1,002,409.04 = 194,896.81/x
  3. Step 3: Cross multiply
    668,174.41x = 1,002,409.04 × 194,896.81
  4. Step 4: Simplify right side
    668,174.41x = 195,366,324,211.16
  5. Step 5: Solve for x
    x = 195,366,324,211.16/668,174.41
  6. Step 6: Final answer
    x = 292,388.22

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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.