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Finding the Fourth Proportional to 409,900.40, 614,850.60 and 324,279.35

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Solution

The fourth proportional to 409,900.40, 614,850.60 and 324,279.35 is: 486,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,900.40 : 614,850.60 = 324,279.35 : x
  2. Step 2: Convert to fraction form
    409,900.40/614,850.60 = 324,279.35/x
  3. Step 3: Cross multiply
    409,900.40x = 614,850.60 × 324,279.35
  4. Step 4: Simplify right side
    409,900.40x = 199,383,352,915.11
  5. Step 5: Solve for x
    x = 199,383,352,915.11/409,900.40
  6. Step 6: Final answer
    x = 486,419.03

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1.5x scale

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.