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Finding the Fourth Proportional to 598,864, 826,433.04 and 330,592

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Solution

The fourth proportional to 598,864, 826,433.04 and 330,592 is: 456,217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,864 : 826,433.04 = 330,592 : x
  2. Step 2: Convert to fraction form
    598,864/826,433.04 = 330,592/x
  3. Step 3: Cross multiply
    598,864x = 826,433.04 × 330,592
  4. Step 4: Simplify right side
    598,864x = 273,212,151,559.68
  5. Step 5: Solve for x
    x = 273,212,151,559.68/598,864
  6. Step 6: Final answer
    x = 456,217.36

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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.