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Finding the Fourth Proportional to 414,502.08, 621,597.60 and 133,944

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Solution

The fourth proportional to 414,502.08, 621,597.60 and 133,944 is: 200,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,502.08 : 621,597.60 = 133,944 : x
  2. Step 2: Convert to fraction form
    414,502.08/621,597.60 = 133,944/x
  3. Step 3: Cross multiply
    414,502.08x = 621,597.60 × 133,944
  4. Step 4: Simplify right side
    414,502.08x = 83,259,268,934.40
  5. Step 5: Solve for x
    x = 83,259,268,934.40/414,502.08
  6. Step 6: Final answer
    x = 200,865.74

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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.