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Finding the Fourth Proportional to 295,270.88, 407,540.22 and 193,237.16

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Solution

The fourth proportional to 295,270.88, 407,540.22 and 193,237.16 is: 266,710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,270.88 : 407,540.22 = 193,237.16 : x
  2. Step 2: Convert to fraction form
    295,270.88/407,540.22 = 193,237.16/x
  3. Step 3: Cross multiply
    295,270.88x = 407,540.22 × 193,237.16
  4. Step 4: Simplify right side
    295,270.88x = 78,751,914,698.58
  5. Step 5: Solve for x
    x = 78,751,914,698.58/295,270.88
  6. Step 6: Final answer
    x = 266,710.74

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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.