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Finding the Fourth Proportional to 474,236.34, 711,355.71 and 193,753.59

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Solution

The fourth proportional to 474,236.34, 711,355.71 and 193,753.59 is: 290,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,236.34 : 711,355.71 = 193,753.59 : x
  2. Step 2: Convert to fraction form
    474,236.34/711,355.71 = 193,753.59/x
  3. Step 3: Cross multiply
    474,236.34x = 711,355.71 × 193,753.59
  4. Step 4: Simplify right side
    474,236.34x = 137,827,722,579.50
  5. Step 5: Solve for x
    x = 137,827,722,579.50/474,236.34
  6. Step 6: Final answer
    x = 290,630.88

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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.