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Finding the Fourth Proportional to 300,539, 414,743.82 and 166,411.64

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Solution

The fourth proportional to 300,539, 414,743.82 and 166,411.64 is: 229,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,539 : 414,743.82 = 166,411.64 : x
  2. Step 2: Convert to fraction form
    300,539/414,743.82 = 166,411.64/x
  3. Step 3: Cross multiply
    300,539x = 414,743.82 × 166,411.64
  4. Step 4: Simplify right side
    300,539x = 69,018,199,266.06
  5. Step 5: Solve for x
    x = 69,018,199,266.06/300,539
  6. Step 6: Final answer
    x = 229,648.06

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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.