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Finding the Fourth Proportional to 393,465.98, 590,231.46 and 165,827.36

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Solution

The fourth proportional to 393,465.98, 590,231.46 and 165,827.36 is: 248,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,465.98 : 590,231.46 = 165,827.36 : x
  2. Step 2: Convert to fraction form
    393,465.98/590,231.46 = 165,827.36/x
  3. Step 3: Cross multiply
    393,465.98x = 590,231.46 × 165,827.36
  4. Step 4: Simplify right side
    393,465.98x = 97,876,524,800.75
  5. Step 5: Solve for x
    x = 97,876,524,800.75/393,465.98
  6. Step 6: Final answer
    x = 248,754.73

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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.