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Finding the Fourth Proportional to 598,151.52, 825,416.12 and 339,992.57

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Solution

The fourth proportional to 598,151.52, 825,416.12 and 339,992.57 is: 469,171.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,151.52 : 825,416.12 = 339,992.57 : x
  2. Step 2: Convert to fraction form
    598,151.52/825,416.12 = 339,992.57/x
  3. Step 3: Cross multiply
    598,151.52x = 825,416.12 × 339,992.57
  4. Step 4: Simplify right side
    598,151.52x = 280,635,350,871.75
  5. Step 5: Solve for x
    x = 280,635,350,871.75/598,151.52
  6. Step 6: Final answer
    x = 469,171.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.