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Finding the Fourth Proportional to 505,665.90, 697,821.30 and 276,226.38

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Solution

The fourth proportional to 505,665.90, 697,821.30 and 276,226.38 is: 381,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,665.90 : 697,821.30 = 276,226.38 : x
  2. Step 2: Convert to fraction form
    505,665.90/697,821.30 = 276,226.38/x
  3. Step 3: Cross multiply
    505,665.90x = 697,821.30 × 276,226.38
  4. Step 4: Simplify right side
    505,665.90x = 192,756,651,585.89
  5. Step 5: Solve for x
    x = 192,756,651,585.89/505,665.90
  6. Step 6: Final answer
    x = 381,193.69

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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.