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Finding the Fourth Proportional to 298,654.93, 412,296.57 and 202,367.64

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Solution

The fourth proportional to 298,654.93, 412,296.57 and 202,367.64 is: 279,370.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,654.93 : 412,296.57 = 202,367.64 : x
  2. Step 2: Convert to fraction form
    298,654.93/412,296.57 = 202,367.64/x
  3. Step 3: Cross multiply
    298,654.93x = 412,296.57 × 202,367.64
  4. Step 4: Simplify right side
    298,654.93x = 83,435,483,288.71
  5. Step 5: Solve for x
    x = 83,435,483,288.71/298,654.93
  6. Step 6: Final answer
    x = 279,370.86

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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.