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Finding the Fourth Proportional to 298,594.13, 412,059.89 and 164,458.13

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Solution

The fourth proportional to 298,594.13, 412,059.89 and 164,458.13 is: 226,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,594.13 : 412,059.89 = 164,458.13 : x
  2. Step 2: Convert to fraction form
    298,594.13/412,059.89 = 164,458.13/x
  3. Step 3: Cross multiply
    298,594.13x = 412,059.89 × 164,458.13
  4. Step 4: Simplify right side
    298,594.13x = 67,766,597,308.25
  5. Step 5: Solve for x
    x = 67,766,597,308.25/298,594.13
  6. Step 6: Final answer
    x = 226,952.21

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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.