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Finding the Fourth Proportional to 293,630.98, 405,244.36 and 164,604.30

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Solution

The fourth proportional to 293,630.98, 405,244.36 and 164,604.30 is: 227,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,630.98 : 405,244.36 = 164,604.30 : x
  2. Step 2: Convert to fraction form
    293,630.98/405,244.36 = 164,604.30/x
  3. Step 3: Cross multiply
    293,630.98x = 405,244.36 × 164,604.30
  4. Step 4: Simplify right side
    293,630.98x = 66,704,964,206.75
  5. Step 5: Solve for x
    x = 66,704,964,206.75/293,630.98
  6. Step 6: Final answer
    x = 227,172.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.