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Finding the Fourth Proportional to 313,829.30, 470,743.96 and 313,829.30

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Solution

The fourth proportional to 313,829.30, 470,743.96 and 313,829.30 is: 470,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,829.30 : 470,743.96 = 313,829.30 : x
  2. Step 2: Convert to fraction form
    313,829.30/470,743.96 = 313,829.30/x
  3. Step 3: Cross multiply
    313,829.30x = 470,743.96 × 313,829.30
  4. Step 4: Simplify right side
    313,829.30x = 147,733,247,446.03
  5. Step 5: Solve for x
    x = 147,733,247,446.03/313,829.30
  6. Step 6: Final answer
    x = 470,743.96

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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.