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Finding the Fourth Proportional to 474,129.20, 711,296.20 and 141,738.80

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Solution

The fourth proportional to 474,129.20, 711,296.20 and 141,738.80 is: 212,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,129.20 : 711,296.20 = 141,738.80 : x
  2. Step 2: Convert to fraction form
    474,129.20/711,296.20 = 141,738.80/x
  3. Step 3: Cross multiply
    474,129.20x = 711,296.20 × 141,738.80
  4. Step 4: Simplify right side
    474,129.20x = 100,818,269,832.56
  5. Step 5: Solve for x
    x = 100,818,269,832.56/474,129.20
  6. Step 6: Final answer
    x = 212,638.81

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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.