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Finding the Fourth Proportional to 470,523.12, 649,399.32 and 343,618.80

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Solution

The fourth proportional to 470,523.12, 649,399.32 and 343,618.80 is: 474,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,523.12 : 649,399.32 = 343,618.80 : x
  2. Step 2: Convert to fraction form
    470,523.12/649,399.32 = 343,618.80/x
  3. Step 3: Cross multiply
    470,523.12x = 649,399.32 × 343,618.80
  4. Step 4: Simplify right side
    470,523.12x = 223,145,815,059.22
  5. Step 5: Solve for x
    x = 223,145,815,059.22/470,523.12
  6. Step 6: Final answer
    x = 474,250.48

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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.