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Finding the Fourth Proportional to 414,980.82, 622,525.50 and 148,771.08

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Solution

The fourth proportional to 414,980.82, 622,525.50 and 148,771.08 is: 223,176.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,980.82 : 622,525.50 = 148,771.08 : x
  2. Step 2: Convert to fraction form
    414,980.82/622,525.50 = 148,771.08/x
  3. Step 3: Cross multiply
    414,980.82x = 622,525.50 × 148,771.08
  4. Step 4: Simplify right side
    414,980.82x = 92,613,790,962.54
  5. Step 5: Solve for x
    x = 92,613,790,962.54/414,980.82
  6. Step 6: Final answer
    x = 223,176.08

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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.