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Finding the Fourth Proportional to 598,494.50, 825,939.70 and 330,239.78

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Solution

The fourth proportional to 598,494.50, 825,939.70 and 330,239.78 is: 455,740.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,494.50 : 825,939.70 = 330,239.78 : x
  2. Step 2: Convert to fraction form
    598,494.50/825,939.70 = 330,239.78/x
  3. Step 3: Cross multiply
    598,494.50x = 825,939.70 × 330,239.78
  4. Step 4: Simplify right side
    598,494.50x = 272,758,144,821.27
  5. Step 5: Solve for x
    x = 272,758,144,821.27/598,494.50
  6. Step 6: Final answer
    x = 455,740.44

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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.