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Finding the Fourth Proportional to 291,951.46, 402,892.41 and 164,626.30

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Solution

The fourth proportional to 291,951.46, 402,892.41 and 164,626.30 is: 227,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,951.46 : 402,892.41 = 164,626.30 : x
  2. Step 2: Convert to fraction form
    291,951.46/402,892.41 = 164,626.30/x
  3. Step 3: Cross multiply
    291,951.46x = 402,892.41 × 164,626.30
  4. Step 4: Simplify right side
    291,951.46x = 66,326,686,756.38
  5. Step 5: Solve for x
    x = 66,326,686,756.38/291,951.46
  6. Step 6: Final answer
    x = 227,183.95

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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.