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Finding the Fourth Proportional to 470,627.92, 649,466.25 and 255,768.03

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Solution

The fourth proportional to 470,627.92, 649,466.25 and 255,768.03 is: 352,959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,627.92 : 649,466.25 = 255,768.03 : x
  2. Step 2: Convert to fraction form
    470,627.92/649,466.25 = 255,768.03/x
  3. Step 3: Cross multiply
    470,627.92x = 649,466.25 × 255,768.03
  4. Step 4: Simplify right side
    470,627.92x = 166,112,703,793.55
  5. Step 5: Solve for x
    x = 166,112,703,793.55/470,627.92
  6. Step 6: Final answer
    x = 352,959.73

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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.