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Finding the Fourth Proportional to 894,102.81, 1,233,894.31 and 512,203.40

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Solution

The fourth proportional to 894,102.81, 1,233,894.31 and 512,203.40 is: 706,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,102.81 : 1,233,894.31 = 512,203.40 : x
  2. Step 2: Convert to fraction form
    894,102.81/1,233,894.31 = 512,203.40/x
  3. Step 3: Cross multiply
    894,102.81x = 1,233,894.31 × 512,203.40
  4. Step 4: Simplify right side
    894,102.81x = 632,004,860,880.92
  5. Step 5: Solve for x
    x = 632,004,860,880.92/894,102.81
  6. Step 6: Final answer
    x = 706,859.27

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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.