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Finding the Fourth Proportional to 470,838.33, 649,769.63 and 255,993.21

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Solution

The fourth proportional to 470,838.33, 649,769.63 and 255,993.21 is: 353,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,838.33 : 649,769.63 = 255,993.21 : x
  2. Step 2: Convert to fraction form
    470,838.33/649,769.63 = 255,993.21/x
  3. Step 3: Cross multiply
    470,838.33x = 649,769.63 × 255,993.21
  4. Step 4: Simplify right side
    470,838.33x = 166,336,612,064.25
  5. Step 5: Solve for x
    x = 166,336,612,064.25/470,838.33
  6. Step 6: Final answer
    x = 353,277.55

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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.