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Finding the Fourth Proportional to 298,157.01, 411,449.31 and 170,824.41

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Solution

The fourth proportional to 298,157.01, 411,449.31 and 170,824.41 is: 235,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,157.01 : 411,449.31 = 170,824.41 : x
  2. Step 2: Convert to fraction form
    298,157.01/411,449.31 = 170,824.41/x
  3. Step 3: Cross multiply
    298,157.01x = 411,449.31 × 170,824.41
  4. Step 4: Simplify right side
    298,157.01x = 70,285,585,625.66
  5. Step 5: Solve for x
    x = 70,285,585,625.66/298,157.01
  6. Step 6: Final answer
    x = 235,733.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.