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Finding the Fourth Proportional to 458,870.82, 633,241.13 and 254,940.56

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Solution

The fourth proportional to 458,870.82, 633,241.13 and 254,940.56 is: 351,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,870.82 : 633,241.13 = 254,940.56 : x
  2. Step 2: Convert to fraction form
    458,870.82/633,241.13 = 254,940.56/x
  3. Step 3: Cross multiply
    458,870.82x = 633,241.13 × 254,940.56
  4. Step 4: Simplify right side
    458,870.82x = 161,438,848,297.23
  5. Step 5: Solve for x
    x = 161,438,848,297.23/458,870.82
  6. Step 6: Final answer
    x = 351,817.64

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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.