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Finding the Fourth Proportional to 894,101.83, 1,233,892.98 and 512,202.42

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Solution

The fourth proportional to 894,101.83, 1,233,892.98 and 512,202.42 is: 706,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,101.83 : 1,233,892.98 = 512,202.42 : x
  2. Step 2: Convert to fraction form
    894,101.83/1,233,892.98 = 512,202.42/x
  3. Step 3: Cross multiply
    894,101.83x = 1,233,892.98 × 512,202.42
  4. Step 4: Simplify right side
    894,101.83x = 632,002,970,377.01
  5. Step 5: Solve for x
    x = 632,002,970,377.01/894,101.83
  6. Step 6: Final answer
    x = 706,857.93

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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.