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Finding the Fourth Proportional to 598,861, 826,428.90 and 330,589

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Solution

The fourth proportional to 598,861, 826,428.90 and 330,589 is: 456,213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,861 : 826,428.90 = 330,589 : x
  2. Step 2: Convert to fraction form
    598,861/826,428.90 = 330,589/x
  3. Step 3: Cross multiply
    598,861x = 826,428.90 × 330,589
  4. Step 4: Simplify right side
    598,861x = 273,208,303,622.10
  5. Step 5: Solve for x
    x = 273,208,303,622.10/598,861
  6. Step 6: Final answer
    x = 456,213.22

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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.