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Finding the Fourth Proportional to 493,104.30, 680,503.23 and 289,126.86

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Solution

The fourth proportional to 493,104.30, 680,503.23 and 289,126.86 is: 399,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,104.30 : 680,503.23 = 289,126.86 : x
  2. Step 2: Convert to fraction form
    493,104.30/680,503.23 = 289,126.86/x
  3. Step 3: Cross multiply
    493,104.30x = 680,503.23 × 289,126.86
  4. Step 4: Simplify right side
    493,104.30x = 196,751,762,109.76
  5. Step 5: Solve for x
    x = 196,751,762,109.76/493,104.30
  6. Step 6: Final answer
    x = 399,006.38

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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.