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Finding the Fourth Proportional to 397,709.20, 596,565.02 and 98,189.82

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Solution

The fourth proportional to 397,709.20, 596,565.02 and 98,189.82 is: 147,285.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,709.20 : 596,565.02 = 98,189.82 : x
  2. Step 2: Convert to fraction form
    397,709.20/596,565.02 = 98,189.82/x
  3. Step 3: Cross multiply
    397,709.20x = 596,565.02 × 98,189.82
  4. Step 4: Simplify right side
    397,709.20x = 58,576,611,932.10
  5. Step 5: Solve for x
    x = 58,576,611,932.10/397,709.20
  6. Step 6: Final answer
    x = 147,285.03

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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.