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Finding the Fourth Proportional to 505,259.93, 757,233.47 and 205,391.24

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Solution

The fourth proportional to 505,259.93, 757,233.47 and 205,391.24 is: 307,820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,259.93 : 757,233.47 = 205,391.24 : x
  2. Step 2: Convert to fraction form
    505,259.93/757,233.47 = 205,391.24/x
  3. Step 3: Cross multiply
    505,259.93x = 757,233.47 × 205,391.24
  4. Step 4: Simplify right side
    505,259.93x = 155,529,116,559.68
  5. Step 5: Solve for x
    x = 155,529,116,559.68/505,259.93
  6. Step 6: Final answer
    x = 307,820.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.