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Finding the Fourth Proportional to 381,544.70, 523,030.64 and 378,016.34

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Solution

The fourth proportional to 381,544.70, 523,030.64 and 378,016.34 is: 518,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,544.70 : 523,030.64 = 378,016.34 : x
  2. Step 2: Convert to fraction form
    381,544.70/523,030.64 = 378,016.34/x
  3. Step 3: Cross multiply
    381,544.70x = 523,030.64 × 378,016.34
  4. Step 4: Simplify right side
    381,544.70x = 197,714,123,735.42
  5. Step 5: Solve for x
    x = 197,714,123,735.42/381,544.70
  6. Step 6: Final answer
    x = 518,193.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.