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Finding the Fourth Proportional to 300,538.50, 414,743.13 and 166,411.14

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Solution

The fourth proportional to 300,538.50, 414,743.13 and 166,411.14 is: 229,647.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,538.50 : 414,743.13 = 166,411.14 : x
  2. Step 2: Convert to fraction form
    300,538.50/414,743.13 = 166,411.14/x
  3. Step 3: Cross multiply
    300,538.50x = 414,743.13 × 166,411.14
  4. Step 4: Simplify right side
    300,538.50x = 69,017,877,070.47
  5. Step 5: Solve for x
    x = 69,017,877,070.47/300,538.50
  6. Step 6: Final answer
    x = 229,647.37

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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.