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Finding the Fourth Proportional to 300,703, 414,983.84 and 166,567

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Solution

The fourth proportional to 300,703, 414,983.84 and 166,567 is: 229,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,703 : 414,983.84 = 166,567 : x
  2. Step 2: Convert to fraction form
    300,703/414,983.84 = 166,567/x
  3. Step 3: Cross multiply
    300,703x = 414,983.84 × 166,567
  4. Step 4: Simplify right side
    300,703x = 69,122,613,277.28
  5. Step 5: Solve for x
    x = 69,122,613,277.28/300,703
  6. Step 6: Final answer
    x = 229,870.05

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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.