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Finding the Fourth Proportional to 397,595.70, 596,393.55 and 148,245.30

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Solution

The fourth proportional to 397,595.70, 596,393.55 and 148,245.30 is: 222,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,595.70 : 596,393.55 = 148,245.30 : x
  2. Step 2: Convert to fraction form
    397,595.70/596,393.55 = 148,245.30/x
  3. Step 3: Cross multiply
    397,595.70x = 596,393.55 × 148,245.30
  4. Step 4: Simplify right side
    397,595.70x = 88,412,540,737.82
  5. Step 5: Solve for x
    x = 88,412,540,737.82/397,595.70
  6. Step 6: Final answer
    x = 222,367.95

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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.