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Finding the Fourth Proportional to 500,598.15, 690,826.14 and 271,157.93

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Solution

The fourth proportional to 500,598.15, 690,826.14 and 271,157.93 is: 374,198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,598.15 : 690,826.14 = 271,157.93 : x
  2. Step 2: Convert to fraction form
    500,598.15/690,826.14 = 271,157.93/x
  3. Step 3: Cross multiply
    500,598.15x = 690,826.14 × 271,157.93
  4. Step 4: Simplify right side
    500,598.15x = 187,322,986,011.40
  5. Step 5: Solve for x
    x = 187,322,986,011.40/500,598.15
  6. Step 6: Final answer
    x = 374,198.32

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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.