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Finding the Fourth Proportional to 370,054.26, 510,684.21 and 226,893.24

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Solution

The fourth proportional to 370,054.26, 510,684.21 and 226,893.24 is: 313,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,054.26 : 510,684.21 = 226,893.24 : x
  2. Step 2: Convert to fraction form
    370,054.26/510,684.21 = 226,893.24/x
  3. Step 3: Cross multiply
    370,054.26x = 510,684.21 × 226,893.24
  4. Step 4: Simplify right side
    370,054.26x = 115,870,795,023.74
  5. Step 5: Solve for x
    x = 115,870,795,023.74/370,054.26
  6. Step 6: Final answer
    x = 313,118.39

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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.