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Finding the Fourth Proportional to 298,877.42, 412,450.85 and 164,741.42

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Solution

The fourth proportional to 298,877.42, 412,450.85 and 164,741.42 is: 227,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,877.42 : 412,450.85 = 164,741.42 : x
  2. Step 2: Convert to fraction form
    298,877.42/412,450.85 = 164,741.42/x
  3. Step 3: Cross multiply
    298,877.42x = 412,450.85 × 164,741.42
  4. Step 4: Simplify right side
    298,877.42x = 67,947,738,709.21
  5. Step 5: Solve for x
    x = 67,947,738,709.21/298,877.42
  6. Step 6: Final answer
    x = 227,343.17

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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.