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Finding the Fourth Proportional to 505,207.42, 697,203.13 and 275,778.31

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Solution

The fourth proportional to 505,207.42, 697,203.13 and 275,778.31 is: 380,583.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,207.42 : 697,203.13 = 275,778.31 : x
  2. Step 2: Convert to fraction form
    505,207.42/697,203.13 = 275,778.31/x
  3. Step 3: Cross multiply
    505,207.42x = 697,203.13 × 275,778.31
  4. Step 4: Simplify right side
    505,207.42x = 192,273,498,747.83
  5. Step 5: Solve for x
    x = 192,273,498,747.83/505,207.42
  6. Step 6: Final answer
    x = 380,583.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.