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Finding the Fourth Proportional to 456,247.92, 684,963.50 and 305,410.02

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Solution

The fourth proportional to 456,247.92, 684,963.50 and 305,410.02 is: 458,511.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,247.92 : 684,963.50 = 305,410.02 : x
  2. Step 2: Convert to fraction form
    456,247.92/684,963.50 = 305,410.02/x
  3. Step 3: Cross multiply
    456,247.92x = 684,963.50 × 305,410.02
  4. Step 4: Simplify right side
    456,247.92x = 209,194,716,234.27
  5. Step 5: Solve for x
    x = 209,194,716,234.27/456,247.92
  6. Step 6: Final answer
    x = 458,511.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.