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Finding the Fourth Proportional to 301,431, 415,994.22 and 167,295

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Solution

The fourth proportional to 301,431, 415,994.22 and 167,295 is: 230,877.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,431 : 415,994.22 = 167,295 : x
  2. Step 2: Convert to fraction form
    301,431/415,994.22 = 167,295/x
  3. Step 3: Cross multiply
    301,431x = 415,994.22 × 167,295
  4. Step 4: Simplify right side
    301,431x = 69,593,753,034.90
  5. Step 5: Solve for x
    x = 69,593,753,034.90/301,431
  6. Step 6: Final answer
    x = 230,877.89

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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.