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Finding the Fourth Proportional to 313,137.64, 470,258.87 and 233,197.32

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Solution

The fourth proportional to 313,137.64, 470,258.87 and 233,197.32 is: 350,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,137.64 : 470,258.87 = 233,197.32 : x
  2. Step 2: Convert to fraction form
    313,137.64/470,258.87 = 233,197.32/x
  3. Step 3: Cross multiply
    313,137.64x = 470,258.87 × 233,197.32
  4. Step 4: Simplify right side
    313,137.64x = 109,663,108,190.23
  5. Step 5: Solve for x
    x = 109,663,108,190.23/313,137.64
  6. Step 6: Final answer
    x = 350,207.37

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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.