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Finding the Fourth Proportional to 313,999.52, 470,999.21 and 92,383.52

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Solution

The fourth proportional to 313,999.52, 470,999.21 and 92,383.52 is: 138,575.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,999.52 : 470,999.21 = 92,383.52 : x
  2. Step 2: Convert to fraction form
    313,999.52/470,999.21 = 92,383.52/x
  3. Step 3: Cross multiply
    313,999.52x = 470,999.21 × 92,383.52
  4. Step 4: Simplify right side
    313,999.52x = 43,512,562,120.11
  5. Step 5: Solve for x
    x = 43,512,562,120.11/313,999.52
  6. Step 6: Final answer
    x = 138,575.25

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1.5x scale

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.