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Finding the Fourth Proportional to 297,994.95, 446,948.69 and 120,498.03

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Solution

The fourth proportional to 297,994.95, 446,948.69 and 120,498.03 is: 180,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,994.95 : 446,948.69 = 120,498.03 : x
  2. Step 2: Convert to fraction form
    297,994.95/446,948.69 = 120,498.03/x
  3. Step 3: Cross multiply
    297,994.95x = 446,948.69 × 120,498.03
  4. Step 4: Simplify right side
    297,994.95x = 53,856,436,053.59
  5. Step 5: Solve for x
    x = 53,856,436,053.59/297,994.95
  6. Step 6: Final answer
    x = 180,729.36

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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.