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Finding the Fourth Proportional to 490,420, 731,338.34 and 485,935.76

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Solution

The fourth proportional to 490,420, 731,338.34 and 485,935.76 is: 724,651.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,420 : 731,338.34 = 485,935.76 : x
  2. Step 2: Convert to fraction form
    490,420/731,338.34 = 485,935.76/x
  3. Step 3: Cross multiply
    490,420x = 731,338.34 × 485,935.76
  4. Step 4: Simplify right side
    490,420x = 355,383,452,065.04
  5. Step 5: Solve for x
    x = 355,383,452,065.04/490,420
  6. Step 6: Final answer
    x = 724,651.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.