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Finding the Fourth Proportional to 551,729.80, 827,594.70 and 177,790.60

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Solution

The fourth proportional to 551,729.80, 827,594.70 and 177,790.60 is: 266,685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,729.80 : 827,594.70 = 177,790.60 : x
  2. Step 2: Convert to fraction form
    551,729.80/827,594.70 = 177,790.60/x
  3. Step 3: Cross multiply
    551,729.80x = 827,594.70 × 177,790.60
  4. Step 4: Simplify right side
    551,729.80x = 147,138,558,269.82
  5. Step 5: Solve for x
    x = 147,138,558,269.82/551,729.80
  6. Step 6: Final answer
    x = 266,685.90

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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.