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Finding the Fourth Proportional to 296,278, 444,417 and 74,662

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Solution

The fourth proportional to 296,278, 444,417 and 74,662 is: 111,993

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,278 : 444,417 = 74,662 : x
  2. Step 2: Convert to fraction form
    296,278/444,417 = 74,662/x
  3. Step 3: Cross multiply
    296,278x = 444,417 × 74,662
  4. Step 4: Simplify right side
    296,278x = 33,181,062,054
  5. Step 5: Solve for x
    x = 33,181,062,054/296,278
  6. Step 6: Final answer
    x = 111,993

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.