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Finding the Fourth Proportional to 416,228.51, 574,395.33 and 225,241.89

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Solution

The fourth proportional to 416,228.51, 574,395.33 and 225,241.89 is: 310,833.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,228.51 : 574,395.33 = 225,241.89 : x
  2. Step 2: Convert to fraction form
    416,228.51/574,395.33 = 225,241.89/x
  3. Step 3: Cross multiply
    416,228.51x = 574,395.33 × 225,241.89
  4. Step 4: Simplify right side
    416,228.51x = 129,377,889,736.37
  5. Step 5: Solve for x
    x = 129,377,889,736.37/416,228.51
  6. Step 6: Final answer
    x = 310,833.80

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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.