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Finding the Fourth Proportional to 301,447.63, 451,905.21 and 230,686.21

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Solution

The fourth proportional to 301,447.63, 451,905.21 and 230,686.21 is: 345,825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,447.63 : 451,905.21 = 230,686.21 : x
  2. Step 2: Convert to fraction form
    301,447.63/451,905.21 = 230,686.21/x
  3. Step 3: Cross multiply
    301,447.63x = 451,905.21 × 230,686.21
  4. Step 4: Simplify right side
    301,447.63x = 104,248,300,174.15
  5. Step 5: Solve for x
    x = 104,248,300,174.15/301,447.63
  6. Step 6: Final answer
    x = 345,825.58

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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.