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Finding the Fourth Proportional to 291,498.52, 402,257.46 and 164,185.96

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Solution

The fourth proportional to 291,498.52, 402,257.46 and 164,185.96 is: 226,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,498.52 : 402,257.46 = 164,185.96 : x
  2. Step 2: Convert to fraction form
    291,498.52/402,257.46 = 164,185.96/x
  3. Step 3: Cross multiply
    291,498.52x = 402,257.46 × 164,185.96
  4. Step 4: Simplify right side
    291,498.52x = 66,045,027,237.26
  5. Step 5: Solve for x
    x = 66,045,027,237.26/291,498.52
  6. Step 6: Final answer
    x = 226,570.71

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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.