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Finding the Fourth Proportional to 524,716.48, 724,105.36 and 298,361.96

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Solution

The fourth proportional to 524,716.48, 724,105.36 and 298,361.96 is: 411,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,716.48 : 724,105.36 = 298,361.96 : x
  2. Step 2: Convert to fraction form
    524,716.48/724,105.36 = 298,361.96/x
  3. Step 3: Cross multiply
    524,716.48x = 724,105.36 × 298,361.96
  4. Step 4: Simplify right side
    524,716.48x = 216,045,494,456.11
  5. Step 5: Solve for x
    x = 216,045,494,456.11/524,716.48
  6. Step 6: Final answer
    x = 411,737.58

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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.