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Finding the Fourth Proportional to 496,020.10, 684,477.09 and 278,216.80

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Solution

The fourth proportional to 496,020.10, 684,477.09 and 278,216.80 is: 383,921.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,020.10 : 684,477.09 = 278,216.80 : x
  2. Step 2: Convert to fraction form
    496,020.10/684,477.09 = 278,216.80/x
  3. Step 3: Cross multiply
    496,020.10x = 684,477.09 × 278,216.80
  4. Step 4: Simplify right side
    496,020.10x = 190,433,025,653.11
  5. Step 5: Solve for x
    x = 190,433,025,653.11/496,020.10
  6. Step 6: Final answer
    x = 383,921.99

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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.