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Finding the Fourth Proportional to 324,438.96, 486,875.40 and 114,076.08

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Solution

The fourth proportional to 324,438.96, 486,875.40 and 114,076.08 is: 171,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,438.96 : 486,875.40 = 114,076.08 : x
  2. Step 2: Convert to fraction form
    324,438.96/486,875.40 = 114,076.08/x
  3. Step 3: Cross multiply
    324,438.96x = 486,875.40 × 114,076.08
  4. Step 4: Simplify right side
    324,438.96x = 55,540,837,080.43
  5. Step 5: Solve for x
    x = 55,540,837,080.43/324,438.96
  6. Step 6: Final answer
    x = 171,190.41

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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.