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Finding the Fourth Proportional to 598,209.12, 825,508.44 and 356,366.46

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Solution

The fourth proportional to 598,209.12, 825,508.44 and 356,366.46 is: 491,773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,209.12 : 825,508.44 = 356,366.46 : x
  2. Step 2: Convert to fraction form
    598,209.12/825,508.44 = 356,366.46/x
  3. Step 3: Cross multiply
    598,209.12x = 825,508.44 × 356,366.46
  4. Step 4: Simplify right side
    598,209.12x = 294,183,520,462.92
  5. Step 5: Solve for x
    x = 294,183,520,462.92/598,209.12
  6. Step 6: Final answer
    x = 491,773.71

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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.