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Finding the Fourth Proportional to 1,264,351.06, 1,744,964.25 and 829,134.56

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Solution

The fourth proportional to 1,264,351.06, 1,744,964.25 and 829,134.56 is: 1,144,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,351.06 : 1,744,964.25 = 829,134.56 : x
  2. Step 2: Convert to fraction form
    1,264,351.06/1,744,964.25 = 829,134.56/x
  3. Step 3: Cross multiply
    1,264,351.06x = 1,744,964.25 × 829,134.56
  4. Step 4: Simplify right side
    1,264,351.06x = 1,446,810,166,567.53
  5. Step 5: Solve for x
    x = 1,446,810,166,567.53/1,264,351.06
  6. Step 6: Final answer
    x = 1,144,310.48

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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.