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Finding the Fourth Proportional to 398,468.67, 597,796.46 and 158,597.09

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Solution

The fourth proportional to 398,468.67, 597,796.46 and 158,597.09 is: 237,932.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,468.67 : 597,796.46 = 158,597.09 : x
  2. Step 2: Convert to fraction form
    398,468.67/597,796.46 = 158,597.09/x
  3. Step 3: Cross multiply
    398,468.67x = 597,796.46 × 158,597.09
  4. Step 4: Simplify right side
    398,468.67x = 94,808,778,968.30
  5. Step 5: Solve for x
    x = 94,808,778,968.30/398,468.67
  6. Step 6: Final answer
    x = 237,932.83

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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.