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Finding the Fourth Proportional to 474,142.41, 711,214.16 and 193,659.66

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Solution

The fourth proportional to 474,142.41, 711,214.16 and 193,659.66 is: 290,489.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,142.41 : 711,214.16 = 193,659.66 : x
  2. Step 2: Convert to fraction form
    474,142.41/711,214.16 = 193,659.66/x
  3. Step 3: Cross multiply
    474,142.41x = 711,214.16 × 193,659.66
  4. Step 4: Simplify right side
    474,142.41x = 137,733,491,444.49
  5. Step 5: Solve for x
    x = 137,733,491,444.49/474,142.41
  6. Step 6: Final answer
    x = 290,489.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.