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Finding the Fourth Proportional to 416,847.11, 575,259.71 and 255,791.16

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Solution

The fourth proportional to 416,847.11, 575,259.71 and 255,791.16 is: 352,998.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,847.11 : 575,259.71 = 255,791.16 : x
  2. Step 2: Convert to fraction form
    416,847.11/575,259.71 = 255,791.16/x
  3. Step 3: Cross multiply
    416,847.11x = 575,259.71 × 255,791.16
  4. Step 4: Simplify right side
    416,847.11x = 147,146,347,243.21
  5. Step 5: Solve for x
    x = 147,146,347,243.21/416,847.11
  6. Step 6: Final answer
    x = 352,998.37

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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.