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Finding the Fourth Proportional to 297,512.30, 446,523.60 and 120,146.60

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Solution

The fourth proportional to 297,512.30, 446,523.60 and 120,146.60 is: 180,322.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,512.30 : 446,523.60 = 120,146.60 : x
  2. Step 2: Convert to fraction form
    297,512.30/446,523.60 = 120,146.60/x
  3. Step 3: Cross multiply
    297,512.30x = 446,523.60 × 120,146.60
  4. Step 4: Simplify right side
    297,512.30x = 53,648,292,359.76
  5. Step 5: Solve for x
    x = 53,648,292,359.76/297,512.30
  6. Step 6: Final answer
    x = 180,322.94

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1.5x scale

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.