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Finding the Fourth Proportional to 410,651.93, 566,711.07 and 226,902.33

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Solution

The fourth proportional to 410,651.93, 566,711.07 and 226,902.33 is: 313,131.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,651.93 : 566,711.07 = 226,902.33 : x
  2. Step 2: Convert to fraction form
    410,651.93/566,711.07 = 226,902.33/x
  3. Step 3: Cross multiply
    410,651.93x = 566,711.07 × 226,902.33
  4. Step 4: Simplify right side
    410,651.93x = 128,588,062,219.79
  5. Step 5: Solve for x
    x = 128,588,062,219.79/410,651.93
  6. Step 6: Final answer
    x = 313,131.52

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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.