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Finding the Fourth Proportional to 301,024.39, 415,418.49 and 165,070.75

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Solution

The fourth proportional to 301,024.39, 415,418.49 and 165,070.75 is: 227,800.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,024.39 : 415,418.49 = 165,070.75 : x
  2. Step 2: Convert to fraction form
    301,024.39/415,418.49 = 165,070.75/x
  3. Step 3: Cross multiply
    301,024.39x = 415,418.49 × 165,070.75
  4. Step 4: Simplify right side
    301,024.39x = 68,573,441,708.17
  5. Step 5: Solve for x
    x = 68,573,441,708.17/301,024.39
  6. Step 6: Final answer
    x = 227,800.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.