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Finding the Fourth Proportional to 293,596.64, 405,170.88 and 166,270.40

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Solution

The fourth proportional to 293,596.64, 405,170.88 and 166,270.40 is: 229,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,596.64 : 405,170.88 = 166,270.40 : x
  2. Step 2: Convert to fraction form
    293,596.64/405,170.88 = 166,270.40/x
  3. Step 3: Cross multiply
    293,596.64x = 405,170.88 × 166,270.40
  4. Step 4: Simplify right side
    293,596.64x = 67,367,924,285.95
  5. Step 5: Solve for x
    x = 67,367,924,285.95/293,596.64
  6. Step 6: Final answer
    x = 229,457.41

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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.