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Finding the Fourth Proportional to 300,430.32, 414,590.04 and 181,198.32

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Solution

The fourth proportional to 300,430.32, 414,590.04 and 181,198.32 is: 250,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,430.32 : 414,590.04 = 181,198.32 : x
  2. Step 2: Convert to fraction form
    300,430.32/414,590.04 = 181,198.32/x
  3. Step 3: Cross multiply
    300,430.32x = 414,590.04 × 181,198.32
  4. Step 4: Simplify right side
    300,430.32x = 75,123,018,736.73
  5. Step 5: Solve for x
    x = 75,123,018,736.73/300,430.32
  6. Step 6: Final answer
    x = 250,051.39

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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.