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Finding the Fourth Proportional to 291,706.80, 402,563.16 and 164,374.80

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Solution

The fourth proportional to 291,706.80, 402,563.16 and 164,374.80 is: 226,841.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,706.80 : 402,563.16 = 164,374.80 : x
  2. Step 2: Convert to fraction form
    291,706.80/402,563.16 = 164,374.80/x
  3. Step 3: Cross multiply
    291,706.80x = 402,563.16 × 164,374.80
  4. Step 4: Simplify right side
    291,706.80x = 66,171,238,912.37
  5. Step 5: Solve for x
    x = 66,171,238,912.37/291,706.80
  6. Step 6: Final answer
    x = 226,841.61

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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.