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Finding the Fourth Proportional to 300,566, 414,794.04 and 166,430

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Solution

The fourth proportional to 300,566, 414,794.04 and 166,430 is: 229,680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,566 : 414,794.04 = 166,430 : x
  2. Step 2: Convert to fraction form
    300,566/414,794.04 = 166,430/x
  3. Step 3: Cross multiply
    300,566x = 414,794.04 × 166,430
  4. Step 4: Simplify right side
    300,566x = 69,034,172,077.20
  5. Step 5: Solve for x
    x = 69,034,172,077.20/300,566
  6. Step 6: Final answer
    x = 229,680.58

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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.