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Finding the Fourth Proportional to 296,634.71, 444,948.35 and 71,997

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Solution

The fourth proportional to 296,634.71, 444,948.35 and 71,997 is: 107,994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,634.71 : 444,948.35 = 71,997 : x
  2. Step 2: Convert to fraction form
    296,634.71/444,948.35 = 71,997/x
  3. Step 3: Cross multiply
    296,634.71x = 444,948.35 × 71,997
  4. Step 4: Simplify right side
    296,634.71x = 32,034,945,994.97
  5. Step 5: Solve for x
    x = 32,034,945,994.97/296,634.71
  6. Step 6: Final answer
    x = 107,994.60

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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.