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Finding the Fourth Proportional to 313,842.40, 470,615.28 and 114,023.44

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Solution

The fourth proportional to 313,842.40, 470,615.28 and 114,023.44 is: 170,981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,842.40 : 470,615.28 = 114,023.44 : x
  2. Step 2: Convert to fraction form
    313,842.40/470,615.28 = 114,023.44/x
  3. Step 3: Cross multiply
    313,842.40x = 470,615.28 × 114,023.44
  4. Step 4: Simplify right side
    313,842.40x = 53,661,173,142.16
  5. Step 5: Solve for x
    x = 53,661,173,142.16/313,842.40
  6. Step 6: Final answer
    x = 170,981.27

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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.