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Finding the Fourth Proportional to 414,447.95, 621,671.91 and 133,965.20

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Solution

The fourth proportional to 414,447.95, 621,671.91 and 133,965.20 is: 200,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,447.95 : 621,671.91 = 133,965.20 : x
  2. Step 2: Convert to fraction form
    414,447.95/621,671.91 = 133,965.20/x
  3. Step 3: Cross multiply
    414,447.95x = 621,671.91 × 133,965.20
  4. Step 4: Simplify right side
    414,447.95x = 83,282,398,649.17
  5. Step 5: Solve for x
    x = 83,282,398,649.17/414,447.95
  6. Step 6: Final answer
    x = 200,947.79

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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.