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Finding the Fourth Proportional to 493,897.77, 681,582.20 and 267,543.27

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Solution

The fourth proportional to 493,897.77, 681,582.20 and 267,543.27 is: 369,211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,897.77 : 681,582.20 = 267,543.27 : x
  2. Step 2: Convert to fraction form
    493,897.77/681,582.20 = 267,543.27/x
  3. Step 3: Cross multiply
    493,897.77x = 681,582.20 × 267,543.27
  4. Step 4: Simplify right side
    493,897.77x = 182,352,729,224.08
  5. Step 5: Solve for x
    x = 182,352,729,224.08/493,897.77
  6. Step 6: Final answer
    x = 369,211.49

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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.