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Finding the Fourth Proportional to 397,932.85, 596,800.86 and 248,096.01

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Solution

The fourth proportional to 397,932.85, 596,800.86 and 248,096.01 is: 372,082.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,932.85 : 596,800.86 = 248,096.01 : x
  2. Step 2: Convert to fraction form
    397,932.85/596,800.86 = 248,096.01/x
  3. Step 3: Cross multiply
    397,932.85x = 596,800.86 × 248,096.01
  4. Step 4: Simplify right side
    397,932.85x = 148,063,914,833.75
  5. Step 5: Solve for x
    x = 148,063,914,833.75/397,932.85
  6. Step 6: Final answer
    x = 372,082.66

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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.