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Finding the Fourth Proportional to 633,081.73, 949,639.53 and 206,643.46

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Solution

The fourth proportional to 633,081.73, 949,639.53 and 206,643.46 is: 309,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,081.73 : 949,639.53 = 206,643.46 : x
  2. Step 2: Convert to fraction form
    633,081.73/949,639.53 = 206,643.46/x
  3. Step 3: Cross multiply
    633,081.73x = 949,639.53 × 206,643.46
  4. Step 4: Simplify right side
    633,081.73x = 196,236,798,231.97
  5. Step 5: Solve for x
    x = 196,236,798,231.97/633,081.73
  6. Step 6: Final answer
    x = 309,970.72

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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.