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Finding the Fourth Proportional to 365,325, 547,768.80 and 151,835.64

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Solution

The fourth proportional to 365,325, 547,768.80 and 151,835.64 is: 227,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,325 : 547,768.80 = 151,835.64 : x
  2. Step 2: Convert to fraction form
    365,325/547,768.80 = 151,835.64/x
  3. Step 3: Cross multiply
    365,325x = 547,768.80 × 151,835.64
  4. Step 4: Simplify right side
    365,325x = 83,170,826,320.03
  5. Step 5: Solve for x
    x = 83,170,826,320.03/365,325
  6. Step 6: Final answer
    x = 227,662.56

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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.