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Finding the Fourth Proportional to 414,931.20, 622,396.80 and 134,448.45

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Solution

The fourth proportional to 414,931.20, 622,396.80 and 134,448.45 is: 201,672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,931.20 : 622,396.80 = 134,448.45 : x
  2. Step 2: Convert to fraction form
    414,931.20/622,396.80 = 134,448.45/x
  3. Step 3: Cross multiply
    414,931.20x = 622,396.80 × 134,448.45
  4. Step 4: Simplify right side
    414,931.20x = 83,680,285,044.96
  5. Step 5: Solve for x
    x = 83,680,285,044.96/414,931.20
  6. Step 6: Final answer
    x = 201,672.68

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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.