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Finding the Fourth Proportional to 414,068.40, 620,713.80 and 324,061.20

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Solution

The fourth proportional to 414,068.40, 620,713.80 and 324,061.20 is: 485,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,068.40 : 620,713.80 = 324,061.20 : x
  2. Step 2: Convert to fraction form
    414,068.40/620,713.80 = 324,061.20/x
  3. Step 3: Cross multiply
    414,068.40x = 620,713.80 × 324,061.20
  4. Step 4: Simplify right side
    414,068.40x = 201,149,258,884.56
  5. Step 5: Solve for x
    x = 201,149,258,884.56/414,068.40
  6. Step 6: Final answer
    x = 485,787.51

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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.