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Finding the Fourth Proportional to 291,958.63, 402,976.32 and 164,708.03

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Solution

The fourth proportional to 291,958.63, 402,976.32 and 164,708.03 is: 227,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,958.63 : 402,976.32 = 164,708.03 : x
  2. Step 2: Convert to fraction form
    291,958.63/402,976.32 = 164,708.03/x
  3. Step 3: Cross multiply
    291,958.63x = 402,976.32 × 164,708.03
  4. Step 4: Simplify right side
    291,958.63x = 66,373,436,193.64
  5. Step 5: Solve for x
    x = 66,373,436,193.64/291,958.63
  6. Step 6: Final answer
    x = 227,338.50

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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.