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Finding the Fourth Proportional to 497,505, 686,556.30 and 271,150.50

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Solution

The fourth proportional to 497,505, 686,556.30 and 271,150.50 is: 374,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,505 : 686,556.30 = 271,150.50 : x
  2. Step 2: Convert to fraction form
    497,505/686,556.30 = 271,150.50/x
  3. Step 3: Cross multiply
    497,505x = 686,556.30 × 271,150.50
  4. Step 4: Simplify right side
    497,505x = 186,160,084,023.15
  5. Step 5: Solve for x
    x = 186,160,084,023.15/497,505
  6. Step 6: Final answer
    x = 374,187.36

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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.