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Finding the Fourth Proportional to 414,065.43, 621,098.40 and 129,778.15

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Solution

The fourth proportional to 414,065.43, 621,098.40 and 129,778.15 is: 194,667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,065.43 : 621,098.40 = 129,778.15 : x
  2. Step 2: Convert to fraction form
    414,065.43/621,098.40 = 129,778.15/x
  3. Step 3: Cross multiply
    414,065.43x = 621,098.40 × 129,778.15
  4. Step 4: Simplify right side
    414,065.43x = 80,605,001,319.96
  5. Step 5: Solve for x
    x = 80,605,001,319.96/414,065.43
  6. Step 6: Final answer
    x = 194,667.30

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Similar ratio
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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.