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Finding the Fourth Proportional to 470,821.91, 649,738.35 and 255,962.12

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Solution

The fourth proportional to 470,821.91, 649,738.35 and 255,962.12 is: 353,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,821.91 : 649,738.35 = 255,962.12 : x
  2. Step 2: Convert to fraction form
    470,821.91/649,738.35 = 255,962.12/x
  3. Step 3: Cross multiply
    470,821.91x = 649,738.35 × 255,962.12
  4. Step 4: Simplify right side
    470,821.91x = 166,308,404,231.49
  5. Step 5: Solve for x
    x = 166,308,404,231.49/470,821.91
  6. Step 6: Final answer
    x = 353,229.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.