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Finding the Fourth Proportional to 511,647.64, 706,076.70 and 282,213.11

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Solution

The fourth proportional to 511,647.64, 706,076.70 and 282,213.11 is: 389,455.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,647.64 : 706,076.70 = 282,213.11 : x
  2. Step 2: Convert to fraction form
    511,647.64/706,076.70 = 282,213.11/x
  3. Step 3: Cross multiply
    511,647.64x = 706,076.70 × 282,213.11
  4. Step 4: Simplify right side
    511,647.64x = 199,264,102,112.43
  5. Step 5: Solve for x
    x = 199,264,102,112.43/511,647.64
  6. Step 6: Final answer
    x = 389,455.73

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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.