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Finding the Fourth Proportional to 456,625.83, 684,943.44 and 203,919.18

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Solution

The fourth proportional to 456,625.83, 684,943.44 and 203,919.18 is: 305,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,625.83 : 684,943.44 = 203,919.18 : x
  2. Step 2: Convert to fraction form
    456,625.83/684,943.44 = 203,919.18/x
  3. Step 3: Cross multiply
    456,625.83x = 684,943.44 × 203,919.18
  4. Step 4: Simplify right side
    456,625.83x = 139,673,104,631.18
  5. Step 5: Solve for x
    x = 139,673,104,631.18/456,625.83
  6. Step 6: Final answer
    x = 305,880.87

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Why These Related Problems?

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