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Finding the Fourth Proportional to 456,626.83, 684,944.94 and 203,920.18

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Solution

The fourth proportional to 456,626.83, 684,944.94 and 203,920.18 is: 305,882.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,626.83 : 684,944.94 = 203,920.18 : x
  2. Step 2: Convert to fraction form
    456,626.83/684,944.94 = 203,920.18/x
  3. Step 3: Cross multiply
    456,626.83x = 684,944.94 × 203,920.18
  4. Step 4: Simplify right side
    456,626.83x = 139,674,095,454.89
  5. Step 5: Solve for x
    x = 139,674,095,454.89/456,626.83
  6. Step 6: Final answer
    x = 305,882.37

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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.