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Finding the Fourth Proportional to 313,936.80, 470,732.40 and 103,466.40

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Solution

The fourth proportional to 313,936.80, 470,732.40 and 103,466.40 is: 155,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,936.80 : 470,732.40 = 103,466.40 : x
  2. Step 2: Convert to fraction form
    313,936.80/470,732.40 = 103,466.40/x
  3. Step 3: Cross multiply
    313,936.80x = 470,732.40 × 103,466.40
  4. Step 4: Simplify right side
    313,936.80x = 48,704,986,791.36
  5. Step 5: Solve for x
    x = 48,704,986,791.36/313,936.80
  6. Step 6: Final answer
    x = 155,142.65

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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.