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Finding the Fourth Proportional to 298,958.50, 412,562.73 and 164,822.50

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Solution

The fourth proportional to 298,958.50, 412,562.73 and 164,822.50 is: 227,455.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,958.50 : 412,562.73 = 164,822.50 : x
  2. Step 2: Convert to fraction form
    298,958.50/412,562.73 = 164,822.50/x
  3. Step 3: Cross multiply
    298,958.50x = 412,562.73 × 164,822.50
  4. Step 4: Simplify right side
    298,958.50x = 67,999,620,565.43
  5. Step 5: Solve for x
    x = 67,999,620,565.43/298,958.50
  6. Step 6: Final answer
    x = 227,455.05

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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.