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Finding the Fourth Proportional to 493,988.36, 681,703.79 and 267,633.86

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Solution

The fourth proportional to 493,988.36, 681,703.79 and 267,633.86 is: 369,334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,988.36 : 681,703.79 = 267,633.86 : x
  2. Step 2: Convert to fraction form
    493,988.36/681,703.79 = 267,633.86/x
  3. Step 3: Cross multiply
    493,988.36x = 681,703.79 × 267,633.86
  4. Step 4: Simplify right side
    493,988.36x = 182,447,011,947.64
  5. Step 5: Solve for x
    x = 182,447,011,947.64/493,988.36
  6. Step 6: Final answer
    x = 369,334.64

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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.