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Finding the Fourth Proportional to 470,540.54, 649,344.72 and 255,680.62

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Solution

The fourth proportional to 470,540.54, 649,344.72 and 255,680.62 is: 352,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,540.54 : 649,344.72 = 255,680.62 : x
  2. Step 2: Convert to fraction form
    470,540.54/649,344.72 = 255,680.62/x
  3. Step 3: Cross multiply
    470,540.54x = 649,344.72 × 255,680.62
  4. Step 4: Simplify right side
    470,540.54x = 166,024,860,603.33
  5. Step 5: Solve for x
    x = 166,024,860,603.33/470,540.54
  6. Step 6: Final answer
    x = 352,838.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.