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Finding the Fourth Proportional to 511,906.63, 706,464.17 and 294,185.32

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Solution

The fourth proportional to 511,906.63, 706,464.17 and 294,185.32 is: 405,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,906.63 : 706,464.17 = 294,185.32 : x
  2. Step 2: Convert to fraction form
    511,906.63/706,464.17 = 294,185.32/x
  3. Step 3: Cross multiply
    511,906.63x = 706,464.17 × 294,185.32
  4. Step 4: Simplify right side
    511,906.63x = 207,831,387,919.98
  5. Step 5: Solve for x
    x = 207,831,387,919.98/511,906.63
  6. Step 6: Final answer
    x = 405,994.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.