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Finding the Fourth Proportional to 414,000.45, 621,000.68 and 147,769.65

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Solution

The fourth proportional to 414,000.45, 621,000.68 and 147,769.65 is: 221,654.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,000.45 : 621,000.68 = 147,769.65 : x
  2. Step 2: Convert to fraction form
    414,000.45/621,000.68 = 147,769.65/x
  3. Step 3: Cross multiply
    414,000.45x = 621,000.68 × 147,769.65
  4. Step 4: Simplify right side
    414,000.45x = 91,765,052,394.51
  5. Step 5: Solve for x
    x = 91,765,052,394.51/414,000.45
  6. Step 6: Final answer
    x = 221,654.48

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1.5x scale

Why These Related Problems?

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