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Finding the Fourth Proportional to 505,324.31, 697,317.66 and 275,835.92

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Solution

The fourth proportional to 505,324.31, 697,317.66 and 275,835.92 is: 380,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,324.31 : 697,317.66 = 275,835.92 : x
  2. Step 2: Convert to fraction form
    505,324.31/697,317.66 = 275,835.92/x
  3. Step 3: Cross multiply
    505,324.31x = 697,317.66 × 275,835.92
  4. Step 4: Simplify right side
    505,324.31x = 192,345,254,791.76
  5. Step 5: Solve for x
    x = 192,345,254,791.76/505,324.31
  6. Step 6: Final answer
    x = 380,637.25

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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.