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Finding the Fourth Proportional to 300,918, 415,266.84 and 166,782

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Solution

The fourth proportional to 300,918, 415,266.84 and 166,782 is: 230,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,918 : 415,266.84 = 166,782 : x
  2. Step 2: Convert to fraction form
    300,918/415,266.84 = 166,782/x
  3. Step 3: Cross multiply
    300,918x = 415,266.84 × 166,782
  4. Step 4: Simplify right side
    300,918x = 69,259,034,108.88
  5. Step 5: Solve for x
    x = 69,259,034,108.88/300,918
  6. Step 6: Final answer
    x = 230,159.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.