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Finding the Fourth Proportional to 524,704.46, 724,025.67 and 298,354.82

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Solution

The fourth proportional to 524,704.46, 724,025.67 and 298,354.82 is: 411,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,704.46 : 724,025.67 = 298,354.82 : x
  2. Step 2: Convert to fraction form
    524,704.46/724,025.67 = 298,354.82/x
  3. Step 3: Cross multiply
    524,704.46x = 724,025.67 × 298,354.82
  4. Step 4: Simplify right side
    524,704.46x = 216,016,548,448.23
  5. Step 5: Solve for x
    x = 216,016,548,448.23/524,704.46
  6. Step 6: Final answer
    x = 411,691.85

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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.