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Finding the Fourth Proportional to 414,749.80, 622,124.70 and 134,295.40

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Solution

The fourth proportional to 414,749.80, 622,124.70 and 134,295.40 is: 201,443.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,749.80 : 622,124.70 = 134,295.40 : x
  2. Step 2: Convert to fraction form
    414,749.80/622,124.70 = 134,295.40/x
  3. Step 3: Cross multiply
    414,749.80x = 622,124.70 × 134,295.40
  4. Step 4: Simplify right side
    414,749.80x = 83,548,485,436.38
  5. Step 5: Solve for x
    x = 83,548,485,436.38/414,749.80
  6. Step 6: Final answer
    x = 201,443.10

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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.