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Finding the Fourth Proportional to 551,296.44, 826,419.69 and 177,057

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Solution

The fourth proportional to 551,296.44, 826,419.69 and 177,057 is: 265,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,296.44 : 826,419.69 = 177,057 : x
  2. Step 2: Convert to fraction form
    551,296.44/826,419.69 = 177,057/x
  3. Step 3: Cross multiply
    551,296.44x = 826,419.69 × 177,057
  4. Step 4: Simplify right side
    551,296.44x = 146,323,391,052.33
  5. Step 5: Solve for x
    x = 146,323,391,052.33/551,296.44
  6. Step 6: Final answer
    x = 265,416.90

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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.