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Finding the Fourth Proportional to 456,611.65, 684,806.75 and 190,226.85

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Solution

The fourth proportional to 456,611.65, 684,806.75 and 190,226.85 is: 285,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,611.65 : 684,806.75 = 190,226.85 : x
  2. Step 2: Convert to fraction form
    456,611.65/684,806.75 = 190,226.85/x
  3. Step 3: Cross multiply
    456,611.65x = 684,806.75 × 190,226.85
  4. Step 4: Simplify right side
    456,611.65x = 130,268,628,105.43
  5. Step 5: Solve for x
    x = 130,268,628,105.43/456,611.65
  6. Step 6: Final answer
    x = 285,294.14

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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.