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Finding the Fourth Proportional to 432,293.16, 648,425.79 and 195,635.82

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Solution

The fourth proportional to 432,293.16, 648,425.79 and 195,635.82 is: 293,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,293.16 : 648,425.79 = 195,635.82 : x
  2. Step 2: Convert to fraction form
    432,293.16/648,425.79 = 195,635.82/x
  3. Step 3: Cross multiply
    432,293.16x = 648,425.79 × 195,635.82
  4. Step 4: Simplify right side
    432,293.16x = 126,855,311,135.80
  5. Step 5: Solve for x
    x = 126,855,311,135.80/432,293.16
  6. Step 6: Final answer
    x = 293,447.42

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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.