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Finding the Fourth Proportional to 470,814.39, 649,729.35 and 255,949.74

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Solution

The fourth proportional to 470,814.39, 649,729.35 and 255,949.74 is: 353,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,814.39 : 649,729.35 = 255,949.74 : x
  2. Step 2: Convert to fraction form
    470,814.39/649,729.35 = 255,949.74/x
  3. Step 3: Cross multiply
    470,814.39x = 649,729.35 × 255,949.74
  4. Step 4: Simplify right side
    470,814.39x = 166,298,058,202.87
  5. Step 5: Solve for x
    x = 166,298,058,202.87/470,814.39
  6. Step 6: Final answer
    x = 353,213.63

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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.