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Finding the Fourth Proportional to 774,702, 1,162,096.74 and 276,066

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Solution

The fourth proportional to 774,702, 1,162,096.74 and 276,066 is: 414,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,702 : 1,162,096.74 = 276,066 : x
  2. Step 2: Convert to fraction form
    774,702/1,162,096.74 = 276,066/x
  3. Step 3: Cross multiply
    774,702x = 1,162,096.74 × 276,066
  4. Step 4: Simplify right side
    774,702x = 320,815,398,624.84
  5. Step 5: Solve for x
    x = 320,815,398,624.84/774,702
  6. Step 6: Final answer
    x = 414,114.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.