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Finding the Fourth Proportional to 605,296.49, 835,346.91 and 333,364.31

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Solution

The fourth proportional to 605,296.49, 835,346.91 and 333,364.31 is: 460,063.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,296.49 : 835,346.91 = 333,364.31 : x
  2. Step 2: Convert to fraction form
    605,296.49/835,346.91 = 333,364.31/x
  3. Step 3: Cross multiply
    605,296.49x = 835,346.91 × 333,364.31
  4. Step 4: Simplify right side
    605,296.49x = 278,474,840,419.23
  5. Step 5: Solve for x
    x = 278,474,840,419.23/605,296.49
  6. Step 6: Final answer
    x = 460,063.53

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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.