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Finding the Fourth Proportional to 324,065.40, 486,098.10 and 305,694.60

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Solution

The fourth proportional to 324,065.40, 486,098.10 and 305,694.60 is: 458,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,065.40 : 486,098.10 = 305,694.60 : x
  2. Step 2: Convert to fraction form
    324,065.40/486,098.10 = 305,694.60/x
  3. Step 3: Cross multiply
    324,065.40x = 486,098.10 × 305,694.60
  4. Step 4: Simplify right side
    324,065.40x = 148,597,564,240.26
  5. Step 5: Solve for x
    x = 148,597,564,240.26/324,065.40
  6. Step 6: Final answer
    x = 458,541.90

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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.