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Finding the Fourth Proportional to 462,134.40, 693,104.40 and 195,903.60

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Solution

The fourth proportional to 462,134.40, 693,104.40 and 195,903.60 is: 293,814.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,134.40 : 693,104.40 = 195,903.60 : x
  2. Step 2: Convert to fraction form
    462,134.40/693,104.40 = 195,903.60/x
  3. Step 3: Cross multiply
    462,134.40x = 693,104.40 × 195,903.60
  4. Step 4: Simplify right side
    462,134.40x = 135,781,647,135.84
  5. Step 5: Solve for x
    x = 135,781,647,135.84/462,134.40
  6. Step 6: Final answer
    x = 293,814.20

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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.