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Finding the Fourth Proportional to 300,539.25, 414,744.17 and 166,411.89

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Solution

The fourth proportional to 300,539.25, 414,744.17 and 166,411.89 is: 229,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,539.25 : 414,744.17 = 166,411.89 : x
  2. Step 2: Convert to fraction form
    300,539.25/414,744.17 = 166,411.89/x
  3. Step 3: Cross multiply
    300,539.25x = 414,744.17 × 166,411.89
  4. Step 4: Simplify right side
    300,539.25x = 69,018,360,364.12
  5. Step 5: Solve for x
    x = 69,018,360,364.12/300,539.25
  6. Step 6: Final answer
    x = 229,648.41

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Why These Related Problems?

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