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Finding the Fourth Proportional to 305,910.77, 459,146.30 and 156,255.98

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Solution

The fourth proportional to 305,910.77, 459,146.30 and 156,255.98 is: 234,527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,910.77 : 459,146.30 = 156,255.98 : x
  2. Step 2: Convert to fraction form
    305,910.77/459,146.30 = 156,255.98/x
  3. Step 3: Cross multiply
    305,910.77x = 459,146.30 × 156,255.98
  4. Step 4: Simplify right side
    305,910.77x = 71,744,351,992.86
  5. Step 5: Solve for x
    x = 71,744,351,992.86/305,910.77
  6. Step 6: Final answer
    x = 234,527.06

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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.