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Finding the Fourth Proportional to 598,493.50, 825,938.32 and 330,238.78

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Solution

The fourth proportional to 598,493.50, 825,938.32 and 330,238.78 is: 455,739.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,493.50 : 825,938.32 = 330,238.78 : x
  2. Step 2: Convert to fraction form
    598,493.50/825,938.32 = 330,238.78/x
  3. Step 3: Cross multiply
    598,493.50x = 825,938.32 × 330,238.78
  4. Step 4: Simplify right side
    598,493.50x = 272,756,863,152.05
  5. Step 5: Solve for x
    x = 272,756,863,152.05/598,493.50
  6. Step 6: Final answer
    x = 455,739.06

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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.