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Finding the Fourth Proportional to 300,532, 414,747.12 and 166,396

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Solution

The fourth proportional to 300,532, 414,747.12 and 166,396 is: 229,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,532 : 414,747.12 = 166,396 : x
  2. Step 2: Convert to fraction form
    300,532/414,747.12 = 166,396/x
  3. Step 3: Cross multiply
    300,532x = 414,747.12 × 166,396
  4. Step 4: Simplify right side
    300,532x = 69,012,261,779.52
  5. Step 5: Solve for x
    x = 69,012,261,779.52/300,532
  6. Step 6: Final answer
    x = 229,633.66

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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.