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Finding the Fourth Proportional to 832,843.84, 1,149,324.42 and 465,321.06

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Solution

The fourth proportional to 832,843.84, 1,149,324.42 and 465,321.06 is: 642,143.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,843.84 : 1,149,324.42 = 465,321.06 : x
  2. Step 2: Convert to fraction form
    832,843.84/1,149,324.42 = 465,321.06/x
  3. Step 3: Cross multiply
    832,843.84x = 1,149,324.42 × 465,321.06
  4. Step 4: Simplify right side
    832,843.84x = 534,804,857,398.29
  5. Step 5: Solve for x
    x = 534,804,857,398.29/832,843.84
  6. Step 6: Final answer
    x = 642,143.02

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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.