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Finding the Fourth Proportional to 511,863.24, 706,366.58 and 282,422.64

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Solution

The fourth proportional to 511,863.24, 706,366.58 and 282,422.64 is: 389,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,863.24 : 706,366.58 = 282,422.64 : x
  2. Step 2: Convert to fraction form
    511,863.24/706,366.58 = 282,422.64/x
  3. Step 3: Cross multiply
    511,863.24x = 706,366.58 × 282,422.64
  4. Step 4: Simplify right side
    511,863.24x = 199,493,914,331.37
  5. Step 5: Solve for x
    x = 199,493,914,331.37/511,863.24
  6. Step 6: Final answer
    x = 389,740.65

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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.