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Finding the Fourth Proportional to 295,326.20, 407,523.87 and 164,493.84

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Solution

The fourth proportional to 295,326.20, 407,523.87 and 164,493.84 is: 226,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,326.20 : 407,523.87 = 164,493.84 : x
  2. Step 2: Convert to fraction form
    295,326.20/407,523.87 = 164,493.84/x
  3. Step 3: Cross multiply
    295,326.20x = 407,523.87 × 164,493.84
  4. Step 4: Simplify right side
    295,326.20x = 67,035,165,735.17
  5. Step 5: Solve for x
    x = 67,035,165,735.17/295,326.20
  6. Step 6: Final answer
    x = 226,986.86

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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.