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Finding the Fourth Proportional to 416,783.27, 575,157.31 and 225,796.21

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Solution

The fourth proportional to 416,783.27, 575,157.31 and 225,796.21 is: 311,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,783.27 : 575,157.31 = 225,796.21 : x
  2. Step 2: Convert to fraction form
    416,783.27/575,157.31 = 225,796.21/x
  3. Step 3: Cross multiply
    416,783.27x = 575,157.31 × 225,796.21
  4. Step 4: Simplify right side
    416,783.27x = 129,868,338,749.41
  5. Step 5: Solve for x
    x = 129,868,338,749.41/416,783.27
  6. Step 6: Final answer
    x = 311,596.81

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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.