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Finding the Fourth Proportional to 456,271.44, 684,523.96 and 189,943.44

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Solution

The fourth proportional to 456,271.44, 684,523.96 and 189,943.44 is: 284,963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,271.44 : 684,523.96 = 189,943.44 : x
  2. Step 2: Convert to fraction form
    456,271.44/684,523.96 = 189,943.44/x
  3. Step 3: Cross multiply
    456,271.44x = 684,523.96 × 189,943.44
  4. Step 4: Simplify right side
    456,271.44x = 130,020,835,724.82
  5. Step 5: Solve for x
    x = 130,020,835,724.82/456,271.44
  6. Step 6: Final answer
    x = 284,963.78

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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.