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Finding the Fourth Proportional to 591,609.32, 816,485.73 and 343,305.96

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Solution

The fourth proportional to 591,609.32, 816,485.73 and 343,305.96 is: 473,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,609.32 : 816,485.73 = 343,305.96 : x
  2. Step 2: Convert to fraction form
    591,609.32/816,485.73 = 343,305.96/x
  3. Step 3: Cross multiply
    591,609.32x = 816,485.73 × 343,305.96
  4. Step 4: Simplify right side
    591,609.32x = 280,304,419,571.14
  5. Step 5: Solve for x
    x = 280,304,419,571.14/591,609.32
  6. Step 6: Final answer
    x = 473,799.87

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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.