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Finding the Fourth Proportional to 324,021.80, 486,032.70 and 257,099.60

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Solution

The fourth proportional to 324,021.80, 486,032.70 and 257,099.60 is: 385,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,021.80 : 486,032.70 = 257,099.60 : x
  2. Step 2: Convert to fraction form
    324,021.80/486,032.70 = 257,099.60/x
  3. Step 3: Cross multiply
    324,021.80x = 486,032.70 × 257,099.60
  4. Step 4: Simplify right side
    324,021.80x = 124,958,812,756.92
  5. Step 5: Solve for x
    x = 124,958,812,756.92/324,021.80
  6. Step 6: Final answer
    x = 385,649.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.