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Finding the Fourth Proportional to 474,138.92, 711,245.10 and 158,597.48

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Solution

The fourth proportional to 474,138.92, 711,245.10 and 158,597.48 is: 237,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,138.92 : 711,245.10 = 158,597.48 : x
  2. Step 2: Convert to fraction form
    474,138.92/711,245.10 = 158,597.48/x
  3. Step 3: Cross multiply
    474,138.92x = 711,245.10 × 158,597.48
  4. Step 4: Simplify right side
    474,138.92x = 112,801,680,522.35
  5. Step 5: Solve for x
    x = 112,801,680,522.35/474,138.92
  6. Step 6: Final answer
    x = 237,908.50

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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.