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Finding the Fourth Proportional to 470,839.06, 649,728.79 and 264,096.07

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Solution

The fourth proportional to 470,839.06, 649,728.79 and 264,096.07 is: 364,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,839.06 : 649,728.79 = 264,096.07 : x
  2. Step 2: Convert to fraction form
    470,839.06/649,728.79 = 264,096.07/x
  3. Step 3: Cross multiply
    470,839.06x = 649,728.79 × 264,096.07
  4. Step 4: Simplify right side
    470,839.06x = 171,590,820,004.86
  5. Step 5: Solve for x
    x = 171,590,820,004.86/470,839.06
  6. Step 6: Final answer
    x = 364,436.25

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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.