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Finding the Fourth Proportional to 511,946.96, 706,157.88 and 310,742.96

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Solution

The fourth proportional to 511,946.96, 706,157.88 and 310,742.96 is: 428,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,946.96 : 706,157.88 = 310,742.96 : x
  2. Step 2: Convert to fraction form
    511,946.96/706,157.88 = 310,742.96/x
  3. Step 3: Cross multiply
    511,946.96x = 706,157.88 × 310,742.96
  4. Step 4: Simplify right side
    511,946.96x = 219,433,589,858.53
  5. Step 5: Solve for x
    x = 219,433,589,858.53/511,946.96
  6. Step 6: Final answer
    x = 428,625.63

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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.