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Finding the Fourth Proportional to 465,496.54, 642,458.19 and 274,530.94

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Solution

The fourth proportional to 465,496.54, 642,458.19 and 274,530.94 is: 378,895.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,496.54 : 642,458.19 = 274,530.94 : x
  2. Step 2: Convert to fraction form
    465,496.54/642,458.19 = 274,530.94/x
  3. Step 3: Cross multiply
    465,496.54x = 642,458.19 × 274,530.94
  4. Step 4: Simplify right side
    465,496.54x = 176,374,650,811.40
  5. Step 5: Solve for x
    x = 176,374,650,811.40/465,496.54
  6. Step 6: Final answer
    x = 378,895.73

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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.