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Finding the Fourth Proportional to 414,742.80, 622,114.20 and 165,603.60

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Solution

The fourth proportional to 414,742.80, 622,114.20 and 165,603.60 is: 248,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,742.80 : 622,114.20 = 165,603.60 : x
  2. Step 2: Convert to fraction form
    414,742.80/622,114.20 = 165,603.60/x
  3. Step 3: Cross multiply
    414,742.80x = 622,114.20 × 165,603.60
  4. Step 4: Simplify right side
    414,742.80x = 103,024,351,131.12
  5. Step 5: Solve for x
    x = 103,024,351,131.12/414,742.80
  6. Step 6: Final answer
    x = 248,405.40

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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.