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Finding the Fourth Proportional to 894,112.54, 1,233,907.69 and 512,213.13

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Solution

The fourth proportional to 894,112.54, 1,233,907.69 and 512,213.13 is: 706,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,112.54 : 1,233,907.69 = 512,213.13 : x
  2. Step 2: Convert to fraction form
    894,112.54/1,233,907.69 = 512,213.13/x
  3. Step 3: Cross multiply
    894,112.54x = 1,233,907.69 × 512,213.13
  4. Step 4: Simplify right side
    894,112.54x = 632,023,722,161.29
  5. Step 5: Solve for x
    x = 632,023,722,161.29/894,112.54
  6. Step 6: Final answer
    x = 706,872.68

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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.