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Finding the Fourth Proportional to 894,102.24, 1,233,893.54 and 512,202.84

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Solution

The fourth proportional to 894,102.24, 1,233,893.54 and 512,202.84 is: 706,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,102.24 : 1,233,893.54 = 512,202.84 : x
  2. Step 2: Convert to fraction form
    894,102.24/1,233,893.54 = 512,202.84/x
  3. Step 3: Cross multiply
    894,102.24x = 1,233,893.54 × 512,202.84
  4. Step 4: Simplify right side
    894,102.24x = 632,003,772,099.06
  5. Step 5: Solve for x
    x = 632,003,772,099.06/894,102.24
  6. Step 6: Final answer
    x = 706,858.50

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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.