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Finding the Fourth Proportional to 456,292.44, 684,555.30 and 189,964.44

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Solution

The fourth proportional to 456,292.44, 684,555.30 and 189,964.44 is: 284,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,292.44 : 684,555.30 = 189,964.44 : x
  2. Step 2: Convert to fraction form
    456,292.44/684,555.30 = 189,964.44/x
  3. Step 3: Cross multiply
    456,292.44x = 684,555.30 × 189,964.44
  4. Step 4: Simplify right side
    456,292.44x = 130,041,164,213.53
  5. Step 5: Solve for x
    x = 130,041,164,213.53/456,292.44
  6. Step 6: Final answer
    x = 284,995.22

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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.