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Finding the Fourth Proportional to 500,465.23, 690,642.32 and 271,024.29

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Solution

The fourth proportional to 500,465.23, 690,642.32 and 271,024.29 is: 374,013.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,465.23 : 690,642.32 = 271,024.29 : x
  2. Step 2: Convert to fraction form
    500,465.23/690,642.32 = 271,024.29/x
  3. Step 3: Cross multiply
    500,465.23x = 690,642.32 × 271,024.29
  4. Step 4: Simplify right side
    500,465.23x = 187,180,843,066.83
  5. Step 5: Solve for x
    x = 187,180,843,066.83/500,465.23
  6. Step 6: Final answer
    x = 374,013.68

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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.