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Finding the Fourth Proportional to 551,288.94, 826,408.44 and 177,049.50

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Solution

The fourth proportional to 551,288.94, 826,408.44 and 177,049.50 is: 265,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,288.94 : 826,408.44 = 177,049.50 : x
  2. Step 2: Convert to fraction form
    551,288.94/826,408.44 = 177,049.50/x
  3. Step 3: Cross multiply
    551,288.94x = 826,408.44 × 177,049.50
  4. Step 4: Simplify right side
    551,288.94x = 146,315,201,097.78
  5. Step 5: Solve for x
    x = 146,315,201,097.78/551,288.94
  6. Step 6: Final answer
    x = 265,405.65

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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.