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Finding the Fourth Proportional to 458,695.44, 687,770.61 and 174,406.77

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Solution

The fourth proportional to 458,695.44, 687,770.61 and 174,406.77 is: 261,506.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,695.44 : 687,770.61 = 174,406.77 : x
  2. Step 2: Convert to fraction form
    458,695.44/687,770.61 = 174,406.77/x
  3. Step 3: Cross multiply
    458,695.44x = 687,770.61 × 174,406.77
  4. Step 4: Simplify right side
    458,695.44x = 119,951,850,591.03
  5. Step 5: Solve for x
    x = 119,951,850,591.03/458,695.44
  6. Step 6: Final answer
    x = 261,506.53

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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.