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Finding the Fourth Proportional to 324,315.16, 486,771.73 and 164,503.24

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Solution

The fourth proportional to 324,315.16, 486,771.73 and 164,503.24 is: 246,906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,315.16 : 486,771.73 = 164,503.24 : x
  2. Step 2: Convert to fraction form
    324,315.16/486,771.73 = 164,503.24/x
  3. Step 3: Cross multiply
    324,315.16x = 486,771.73 × 164,503.24
  4. Step 4: Simplify right side
    324,315.16x = 80,075,525,097.22
  5. Step 5: Solve for x
    x = 80,075,525,097.22/324,315.16
  6. Step 6: Final answer
    x = 246,906.51

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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.