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Finding the Fourth Proportional to 409,158.80, 613,732.44 and 113,670.80

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Solution

The fourth proportional to 409,158.80, 613,732.44 and 113,670.80 is: 170,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,158.80 : 613,732.44 = 113,670.80 : x
  2. Step 2: Convert to fraction form
    409,158.80/613,732.44 = 113,670.80/x
  3. Step 3: Cross multiply
    409,158.80x = 613,732.44 × 113,670.80
  4. Step 4: Simplify right side
    409,158.80x = 69,763,457,440.75
  5. Step 5: Solve for x
    x = 69,763,457,440.75/409,158.80
  6. Step 6: Final answer
    x = 170,504.60

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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.