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Finding the Fourth Proportional to 493,763.22, 681,392.61 and 267,409.62

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Solution

The fourth proportional to 493,763.22, 681,392.61 and 267,409.62 is: 369,024.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,763.22 : 681,392.61 = 267,409.62 : x
  2. Step 2: Convert to fraction form
    493,763.22/681,392.61 = 267,409.62/x
  3. Step 3: Cross multiply
    493,763.22x = 681,392.61 × 267,409.62
  4. Step 4: Simplify right side
    493,763.22x = 182,210,938,910.91
  5. Step 5: Solve for x
    x = 182,210,938,910.91/493,763.22
  6. Step 6: Final answer
    x = 369,024.93

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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.