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Finding the Fourth Proportional to 493,008.99, 739,624.26 and 156,069.85

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Solution

The fourth proportional to 493,008.99, 739,624.26 and 156,069.85 is: 234,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,008.99 : 739,624.26 = 156,069.85 : x
  2. Step 2: Convert to fraction form
    493,008.99/739,624.26 = 156,069.85/x
  3. Step 3: Cross multiply
    493,008.99x = 739,624.26 × 156,069.85
  4. Step 4: Simplify right side
    493,008.99x = 115,433,047,314.56
  5. Step 5: Solve for x
    x = 115,433,047,314.56/493,008.99
  6. Step 6: Final answer
    x = 234,139.84

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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.