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Finding the Fourth Proportional to 293,027.60, 439,613.40 and 82,662.80

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Solution

The fourth proportional to 293,027.60, 439,613.40 and 82,662.80 is: 124,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,027.60 : 439,613.40 = 82,662.80 : x
  2. Step 2: Convert to fraction form
    293,027.60/439,613.40 = 82,662.80/x
  3. Step 3: Cross multiply
    293,027.60x = 439,613.40 × 82,662.80
  4. Step 4: Simplify right side
    293,027.60x = 36,339,674,561.52
  5. Step 5: Solve for x
    x = 36,339,674,561.52/293,027.60
  6. Step 6: Final answer
    x = 124,014.51

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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.