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Finding the Fourth Proportional to 491,842.77, 737,790.48 and 154,909.68

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Solution

The fourth proportional to 491,842.77, 737,790.48 and 154,909.68 is: 232,372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,842.77 : 737,790.48 = 154,909.68 : x
  2. Step 2: Convert to fraction form
    491,842.77/737,790.48 = 154,909.68/x
  3. Step 3: Cross multiply
    491,842.77x = 737,790.48 × 154,909.68
  4. Step 4: Simplify right side
    491,842.77x = 114,290,887,163.85
  5. Step 5: Solve for x
    x = 114,290,887,163.85/491,842.77
  6. Step 6: Final answer
    x = 232,372.81

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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.