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Finding the Fourth Proportional to 313,758.40, 470,896.80 and 145,537.60

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Solution

The fourth proportional to 313,758.40, 470,896.80 and 145,537.60 is: 218,426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,758.40 : 470,896.80 = 145,537.60 : x
  2. Step 2: Convert to fraction form
    313,758.40/470,896.80 = 145,537.60/x
  3. Step 3: Cross multiply
    313,758.40x = 470,896.80 × 145,537.60
  4. Step 4: Simplify right side
    313,758.40x = 68,533,190,119.68
  5. Step 5: Solve for x
    x = 68,533,190,119.68/313,758.40
  6. Step 6: Final answer
    x = 218,426.63

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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.