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Finding the Fourth Proportional to 470,771.05, 649,505.93 and 266,805.96

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Solution

The fourth proportional to 470,771.05, 649,505.93 and 266,805.96 is: 368,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,771.05 : 649,505.93 = 266,805.96 : x
  2. Step 2: Convert to fraction form
    470,771.05/649,505.93 = 266,805.96/x
  3. Step 3: Cross multiply
    470,771.05x = 649,505.93 × 266,805.96
  4. Step 4: Simplify right side
    470,771.05x = 173,292,053,179.34
  5. Step 5: Solve for x
    x = 173,292,053,179.34/470,771.05
  6. Step 6: Final answer
    x = 368,102.61

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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.