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Finding the Fourth Proportional to 505,648.24, 697,794.54 and 273,075.16

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Solution

The fourth proportional to 505,648.24, 697,794.54 and 273,075.16 is: 376,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,648.24 : 697,794.54 = 273,075.16 : x
  2. Step 2: Convert to fraction form
    505,648.24/697,794.54 = 273,075.16/x
  3. Step 3: Cross multiply
    505,648.24x = 697,794.54 × 273,075.16
  4. Step 4: Simplify right side
    505,648.24x = 190,550,350,803.28
  5. Step 5: Solve for x
    x = 190,550,350,803.28/505,648.24
  6. Step 6: Final answer
    x = 376,843.70

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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.