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Finding the Fourth Proportional to 297,775.00, 446,745.88 and 120,406.57

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Solution

The fourth proportional to 297,775.00, 446,745.88 and 120,406.57 is: 180,643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,775.00 : 446,745.88 = 120,406.57 : x
  2. Step 2: Convert to fraction form
    297,775.00/446,745.88 = 120,406.57/x
  3. Step 3: Cross multiply
    297,775.00x = 446,745.88 × 120,406.57
  4. Step 4: Simplify right side
    297,775.00x = 53,791,138,106.08
  5. Step 5: Solve for x
    x = 53,791,138,106.08/297,775.00
  6. Step 6: Final answer
    x = 180,643.57

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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.