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Finding the Fourth Proportional to 414,134.10, 621,201.15 and 147,903.30

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Solution

The fourth proportional to 414,134.10, 621,201.15 and 147,903.30 is: 221,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,134.10 : 621,201.15 = 147,903.30 : x
  2. Step 2: Convert to fraction form
    414,134.10/621,201.15 = 147,903.30/x
  3. Step 3: Cross multiply
    414,134.10x = 621,201.15 × 147,903.30
  4. Step 4: Simplify right side
    414,134.10x = 91,877,700,048.80
  5. Step 5: Solve for x
    x = 91,877,700,048.80/414,134.10
  6. Step 6: Final answer
    x = 221,854.95

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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.