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Finding the Fourth Proportional to 313,813.36, 470,709.04 and 100,578.12

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Solution

The fourth proportional to 313,813.36, 470,709.04 and 100,578.12 is: 150,863.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,813.36 : 470,709.04 = 100,578.12 : x
  2. Step 2: Convert to fraction form
    313,813.36/470,709.04 = 100,578.12/x
  3. Step 3: Cross multiply
    313,813.36x = 470,709.04 × 100,578.12
  4. Step 4: Simplify right side
    313,813.36x = 47,343,030,310.20
  5. Step 5: Solve for x
    x = 47,343,030,310.20/313,813.36
  6. Step 6: Final answer
    x = 150,863.65

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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.