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Finding the Fourth Proportional to 324,149.82, 486,140.01 and 96,384.10

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Solution

The fourth proportional to 324,149.82, 486,140.01 and 96,384.10 is: 144,550.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,149.82 : 486,140.01 = 96,384.10 : x
  2. Step 2: Convert to fraction form
    324,149.82/486,140.01 = 96,384.10/x
  3. Step 3: Cross multiply
    324,149.82x = 486,140.01 × 96,384.10
  4. Step 4: Simplify right side
    324,149.82x = 46,856,167,337.84
  5. Step 5: Solve for x
    x = 46,856,167,337.84/324,149.82
  6. Step 6: Final answer
    x = 144,550.96

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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.