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Finding the Fourth Proportional to 407,833.44, 611,789.04 and 158,534.88

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Solution

The fourth proportional to 407,833.44, 611,789.04 and 158,534.88 is: 237,817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,833.44 : 611,789.04 = 158,534.88 : x
  2. Step 2: Convert to fraction form
    407,833.44/611,789.04 = 158,534.88/x
  3. Step 3: Cross multiply
    407,833.44x = 611,789.04 × 158,534.88
  4. Step 4: Simplify right side
    407,833.44x = 96,989,902,041.72
  5. Step 5: Solve for x
    x = 96,989,902,041.72/407,833.44
  6. Step 6: Final answer
    x = 237,817.43

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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.