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Finding the Fourth Proportional to 321,245.66, 481,784.52 and 96,546

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Solution

The fourth proportional to 321,245.66, 481,784.52 and 96,546 is: 144,793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,245.66 : 481,784.52 = 96,546 : x
  2. Step 2: Convert to fraction form
    321,245.66/481,784.52 = 96,546/x
  3. Step 3: Cross multiply
    321,245.66x = 481,784.52 × 96,546
  4. Step 4: Simplify right side
    321,245.66x = 46,514,368,267.92
  5. Step 5: Solve for x
    x = 46,514,368,267.92/321,245.66
  6. Step 6: Final answer
    x = 144,793.76

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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.