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Finding the Fourth Proportional to 785,568, 1,084,083.84 and 427,872

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Solution

The fourth proportional to 785,568, 1,084,083.84 and 427,872 is: 590,463.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,568 : 1,084,083.84 = 427,872 : x
  2. Step 2: Convert to fraction form
    785,568/1,084,083.84 = 427,872/x
  3. Step 3: Cross multiply
    785,568x = 1,084,083.84 × 427,872
  4. Step 4: Simplify right side
    785,568x = 463,849,120,788.48
  5. Step 5: Solve for x
    x = 463,849,120,788.48/785,568
  6. Step 6: Final answer
    x = 590,463.36

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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.