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Finding the Fourth Proportional to 511,663.10, 706,086.05 and 282,241.26

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Solution

The fourth proportional to 511,663.10, 706,086.05 and 282,241.26 is: 389,487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,663.10 : 706,086.05 = 282,241.26 : x
  2. Step 2: Convert to fraction form
    511,663.10/706,086.05 = 282,241.26/x
  3. Step 3: Cross multiply
    511,663.10x = 706,086.05 × 282,241.26
  4. Step 4: Simplify right side
    511,663.10x = 199,286,615,009.22
  5. Step 5: Solve for x
    x = 199,286,615,009.22/511,663.10
  6. Step 6: Final answer
    x = 389,487.96

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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.