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Finding the Fourth Proportional to 293,074.74, 439,550.58 and 82,663.47

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Solution

The fourth proportional to 293,074.74, 439,550.58 and 82,663.47 is: 123,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,074.74 : 439,550.58 = 82,663.47 : x
  2. Step 2: Convert to fraction form
    293,074.74/439,550.58 = 82,663.47/x
  3. Step 3: Cross multiply
    293,074.74x = 439,550.58 × 82,663.47
  4. Step 4: Simplify right side
    293,074.74x = 36,334,776,183.31
  5. Step 5: Solve for x
    x = 36,334,776,183.31/293,074.74
  6. Step 6: Final answer
    x = 123,977.85

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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.