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Finding the Fourth Proportional to 505,159.83, 697,135.05 and 275,731.38

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Solution

The fourth proportional to 505,159.83, 697,135.05 and 275,731.38 is: 380,517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,159.83 : 697,135.05 = 275,731.38 : x
  2. Step 2: Convert to fraction form
    505,159.83/697,135.05 = 275,731.38/x
  3. Step 3: Cross multiply
    505,159.83x = 697,135.05 × 275,731.38
  4. Step 4: Simplify right side
    505,159.83x = 192,222,009,382.87
  5. Step 5: Solve for x
    x = 192,222,009,382.87/505,159.83
  6. Step 6: Final answer
    x = 380,517.21

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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.