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Finding the Fourth Proportional to 474,105.96, 711,079.56 and 158,561.82

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Solution

The fourth proportional to 474,105.96, 711,079.56 and 158,561.82 is: 237,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,105.96 : 711,079.56 = 158,561.82 : x
  2. Step 2: Convert to fraction form
    474,105.96/711,079.56 = 158,561.82/x
  3. Step 3: Cross multiply
    474,105.96x = 711,079.56 × 158,561.82
  4. Step 4: Simplify right side
    474,105.96x = 112,750,069,198.40
  5. Step 5: Solve for x
    x = 112,750,069,198.40/474,105.96
  6. Step 6: Final answer
    x = 237,816.18

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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.