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Finding the Fourth Proportional to 1,557,306, 2,149,085.16 and 841,914

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Solution

The fourth proportional to 1,557,306, 2,149,085.16 and 841,914 is: 1,161,842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557,306 : 2,149,085.16 = 841,914 : x
  2. Step 2: Convert to fraction form
    1,557,306/2,149,085.16 = 841,914/x
  3. Step 3: Cross multiply
    1,557,306x = 2,149,085.16 × 841,914
  4. Step 4: Simplify right side
    1,557,306x = 1,809,344,883,396.24
  5. Step 5: Solve for x
    x = 1,809,344,883,396.24/1,557,306
  6. Step 6: Final answer
    x = 1,161,842.88

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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.