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Finding the Fourth Proportional to 468,982.98, 703,474.74 and 329,364.90

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Solution

The fourth proportional to 468,982.98, 703,474.74 and 329,364.90 is: 494,047.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,982.98 : 703,474.74 = 329,364.90 : x
  2. Step 2: Convert to fraction form
    468,982.98/703,474.74 = 329,364.90/x
  3. Step 3: Cross multiply
    468,982.98x = 703,474.74 × 329,364.90
  4. Step 4: Simplify right side
    468,982.98x = 231,699,887,392.63
  5. Step 5: Solve for x
    x = 231,699,887,392.63/468,982.98
  6. Step 6: Final answer
    x = 494,047.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.