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Finding the Fourth Proportional to 505,264.93, 757,239.22 and 205,395.24

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Solution

The fourth proportional to 505,264.93, 757,239.22 and 205,395.24 is: 307,825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,264.93 : 757,239.22 = 205,395.24 : x
  2. Step 2: Convert to fraction form
    505,264.93/757,239.22 = 205,395.24/x
  3. Step 3: Cross multiply
    505,264.93x = 757,239.22 × 205,395.24
  4. Step 4: Simplify right side
    505,264.93x = 155,533,331,329.31
  5. Step 5: Solve for x
    x = 155,533,331,329.31/505,264.93
  6. Step 6: Final answer
    x = 307,825.31

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