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Finding the Fourth Proportional to 470,212.06, 649,131.63 and 298,305.63

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Solution

The fourth proportional to 470,212.06, 649,131.63 and 298,305.63 is: 411,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,212.06 : 649,131.63 = 298,305.63 : x
  2. Step 2: Convert to fraction form
    470,212.06/649,131.63 = 298,305.63/x
  3. Step 3: Cross multiply
    470,212.06x = 649,131.63 × 298,305.63
  4. Step 4: Simplify right side
    470,212.06x = 193,639,619,840.08
  5. Step 5: Solve for x
    x = 193,639,619,840.08/470,212.06
  6. Step 6: Final answer
    x = 411,813.38

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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.