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Finding the Fourth Proportional to 470,379.44, 649,128.24 and 255,521.24

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Solution

The fourth proportional to 470,379.44, 649,128.24 and 255,521.24 is: 352,621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,379.44 : 649,128.24 = 255,521.24 : x
  2. Step 2: Convert to fraction form
    470,379.44/649,128.24 = 255,521.24/x
  3. Step 3: Cross multiply
    470,379.44x = 649,128.24 × 255,521.24
  4. Step 4: Simplify right side
    470,379.44x = 165,866,052,803.82
  5. Step 5: Solve for x
    x = 165,866,052,803.82/470,379.44
  6. Step 6: Final answer
    x = 352,621.82

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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.