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Finding the Fourth Proportional to 516,873.94, 775,790.66 and 264,334.88

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Solution

The fourth proportional to 516,873.94, 775,790.66 and 264,334.88 is: 396,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,873.94 : 775,790.66 = 264,334.88 : x
  2. Step 2: Convert to fraction form
    516,873.94/775,790.66 = 264,334.88/x
  3. Step 3: Cross multiply
    516,873.94x = 775,790.66 × 264,334.88
  4. Step 4: Simplify right side
    516,873.94x = 205,068,533,616.54
  5. Step 5: Solve for x
    x = 205,068,533,616.54/516,873.94
  6. Step 6: Final answer
    x = 396,747.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.