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Finding the Fourth Proportional to 291,952.10, 402,893.24 and 164,626.79

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Solution

The fourth proportional to 291,952.10, 402,893.24 and 164,626.79 is: 227,184.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,952.10 : 402,893.24 = 164,626.79 : x
  2. Step 2: Convert to fraction form
    291,952.10/402,893.24 = 164,626.79/x
  3. Step 3: Cross multiply
    291,952.10x = 402,893.24 × 164,626.79
  4. Step 4: Simplify right side
    291,952.10x = 66,327,017,976.30
  5. Step 5: Solve for x
    x = 66,327,017,976.30/291,952.10
  6. Step 6: Final answer
    x = 227,184.59

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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.