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Finding the Fourth Proportional to 469,656.50, 648,125.97 and 268,456.82

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Solution

The fourth proportional to 469,656.50, 648,125.97 and 268,456.82 is: 370,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,656.50 : 648,125.97 = 268,456.82 : x
  2. Step 2: Convert to fraction form
    469,656.50/648,125.97 = 268,456.82/x
  3. Step 3: Cross multiply
    469,656.50x = 648,125.97 × 268,456.82
  4. Step 4: Simplify right side
    469,656.50x = 173,993,836,865.62
  5. Step 5: Solve for x
    x = 173,993,836,865.62/469,656.50
  6. Step 6: Final answer
    x = 370,470.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.