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Finding the Fourth Proportional to 1,165,589.81, 1,747,941.82 and 557,754.16

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Solution

The fourth proportional to 1,165,589.81, 1,747,941.82 and 557,754.16 is: 836,419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,589.81 : 1,747,941.82 = 557,754.16 : x
  2. Step 2: Convert to fraction form
    1,165,589.81/1,747,941.82 = 557,754.16/x
  3. Step 3: Cross multiply
    1,165,589.81x = 1,747,941.82 × 557,754.16
  4. Step 4: Simplify right side
    1,165,589.81x = 974,921,821,542.97
  5. Step 5: Solve for x
    x = 974,921,821,542.97/1,165,589.81
  6. Step 6: Final answer
    x = 836,419.31

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