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Finding the Fourth Proportional to 324,083.14, 485,424.86 and 316,151.62

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Solution

The fourth proportional to 324,083.14, 485,424.86 and 316,151.62 is: 473,544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,083.14 : 485,424.86 = 316,151.62 : x
  2. Step 2: Convert to fraction form
    324,083.14/485,424.86 = 316,151.62/x
  3. Step 3: Cross multiply
    324,083.14x = 485,424.86 × 316,151.62
  4. Step 4: Simplify right side
    324,083.14x = 153,467,855,877.27
  5. Step 5: Solve for x
    x = 153,467,855,877.27/324,083.14
  6. Step 6: Final answer
    x = 473,544.71

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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.