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Finding the Fourth Proportional to 470,620.52, 649,462.48 and 255,763.98

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Solution

The fourth proportional to 470,620.52, 649,462.48 and 255,763.98 is: 352,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,620.52 : 649,462.48 = 255,763.98 : x
  2. Step 2: Convert to fraction form
    470,620.52/649,462.48 = 255,763.98/x
  3. Step 3: Cross multiply
    470,620.52x = 649,462.48 × 255,763.98
  4. Step 4: Simplify right side
    470,620.52x = 166,109,108,745.47
  5. Step 5: Solve for x
    x = 166,109,108,745.47/470,620.52
  6. Step 6: Final answer
    x = 352,957.64

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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.