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Finding the Fourth Proportional to 414,716.40, 622,730.70 and 314,989.20

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Solution

The fourth proportional to 414,716.40, 622,730.70 and 314,989.20 is: 472,982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,716.40 : 622,730.70 = 314,989.20 : x
  2. Step 2: Convert to fraction form
    414,716.40/622,730.70 = 314,989.20/x
  3. Step 3: Cross multiply
    414,716.40x = 622,730.70 × 314,989.20
  4. Step 4: Simplify right side
    414,716.40x = 196,153,445,008.44
  5. Step 5: Solve for x
    x = 196,153,445,008.44/414,716.40
  6. Step 6: Final answer
    x = 472,982.13

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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.