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Finding the Fourth Proportional to 414,546.80, 621,820.20 and 134,092.40

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Solution

The fourth proportional to 414,546.80, 621,820.20 and 134,092.40 is: 201,138.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,546.80 : 621,820.20 = 134,092.40 : x
  2. Step 2: Convert to fraction form
    414,546.80/621,820.20 = 134,092.40/x
  3. Step 3: Cross multiply
    414,546.80x = 621,820.20 × 134,092.40
  4. Step 4: Simplify right side
    414,546.80x = 83,381,362,986.48
  5. Step 5: Solve for x
    x = 83,381,362,986.48/414,546.80
  6. Step 6: Final answer
    x = 201,138.60

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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.