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Finding the Fourth Proportional to 298,765.57, 412,296.54 and 162,799.54

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Solution

The fourth proportional to 298,765.57, 412,296.54 and 162,799.54 is: 224,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,765.57 : 412,296.54 = 162,799.54 : x
  2. Step 2: Convert to fraction form
    298,765.57/412,296.54 = 162,799.54/x
  3. Step 3: Cross multiply
    298,765.57x = 412,296.54 × 162,799.54
  4. Step 4: Simplify right side
    298,765.57x = 67,121,687,055.59
  5. Step 5: Solve for x
    x = 67,121,687,055.59/298,765.57
  6. Step 6: Final answer
    x = 224,663.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.