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Finding the Fourth Proportional to 601,839, 830,537.82 and 333,567

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Solution

The fourth proportional to 601,839, 830,537.82 and 333,567 is: 460,322.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,839 : 830,537.82 = 333,567 : x
  2. Step 2: Convert to fraction form
    601,839/830,537.82 = 333,567/x
  3. Step 3: Cross multiply
    601,839x = 830,537.82 × 333,567
  4. Step 4: Simplify right side
    601,839x = 277,040,009,003.94
  5. Step 5: Solve for x
    x = 277,040,009,003.94/601,839
  6. Step 6: Final answer
    x = 460,322.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.