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Finding the Fourth Proportional to 586,447.92, 809,315.19 and 331,793.64

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Solution

The fourth proportional to 586,447.92, 809,315.19 and 331,793.64 is: 457,884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,447.92 : 809,315.19 = 331,793.64 : x
  2. Step 2: Convert to fraction form
    586,447.92/809,315.19 = 331,793.64/x
  3. Step 3: Cross multiply
    586,447.92x = 809,315.19 × 331,793.64
  4. Step 4: Simplify right side
    586,447.92x = 268,525,632,797.39
  5. Step 5: Solve for x
    x = 268,525,632,797.39/586,447.92
  6. Step 6: Final answer
    x = 457,884.88

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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.