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Finding the Fourth Proportional to 505,782.45, 697,959.14 and 276,347.69

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Solution

The fourth proportional to 505,782.45, 697,959.14 and 276,347.69 is: 381,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,782.45 : 697,959.14 = 276,347.69 : x
  2. Step 2: Convert to fraction form
    505,782.45/697,959.14 = 276,347.69/x
  3. Step 3: Cross multiply
    505,782.45x = 697,959.14 × 276,347.69
  4. Step 4: Simplify right side
    505,782.45x = 192,879,391,181.85
  5. Step 5: Solve for x
    x = 192,879,391,181.85/505,782.45
  6. Step 6: Final answer
    x = 381,348.52

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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.