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Finding the Fourth Proportional to 321,342.57, 479,140.86 and 312,514.65

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Solution

The fourth proportional to 321,342.57, 479,140.86 and 312,514.65 is: 465,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,342.57 : 479,140.86 = 312,514.65 : x
  2. Step 2: Convert to fraction form
    321,342.57/479,140.86 = 312,514.65/x
  3. Step 3: Cross multiply
    321,342.57x = 479,140.86 × 312,514.65
  4. Step 4: Simplify right side
    321,342.57x = 149,738,538,163.60
  5. Step 5: Solve for x
    x = 149,738,538,163.60/321,342.57
  6. Step 6: Final answer
    x = 465,977.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.