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Finding the Fourth Proportional to 414,119.69, 621,193.44 and 114,575.21

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Solution

The fourth proportional to 414,119.69, 621,193.44 and 114,575.21 is: 171,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,119.69 : 621,193.44 = 114,575.21 : x
  2. Step 2: Convert to fraction form
    414,119.69/621,193.44 = 114,575.21/x
  3. Step 3: Cross multiply
    414,119.69x = 621,193.44 × 114,575.21
  4. Step 4: Simplify right side
    414,119.69x = 71,173,368,838.62
  5. Step 5: Solve for x
    x = 71,173,368,838.62/414,119.69
  6. Step 6: Final answer
    x = 171,866.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.