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Finding the Fourth Proportional to 456,272.44, 684,525.46 and 189,944.44

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Solution

The fourth proportional to 456,272.44, 684,525.46 and 189,944.44 is: 284,965.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,272.44 : 684,525.46 = 189,944.44 : x
  2. Step 2: Convert to fraction form
    456,272.44/684,525.46 = 189,944.44/x
  3. Step 3: Cross multiply
    456,272.44x = 684,525.46 × 189,944.44
  4. Step 4: Simplify right side
    456,272.44x = 130,021,805,165.44
  5. Step 5: Solve for x
    x = 130,021,805,165.44/456,272.44
  6. Step 6: Final answer
    x = 284,965.28

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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.