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Finding the Fourth Proportional to 298,559.96, 412,010.94 and 164,423

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Solution

The fourth proportional to 298,559.96, 412,010.94 and 164,423 is: 226,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,559.96 : 412,010.94 = 164,423 : x
  2. Step 2: Convert to fraction form
    298,559.96/412,010.94 = 164,423/x
  3. Step 3: Cross multiply
    298,559.96x = 412,010.94 × 164,423
  4. Step 4: Simplify right side
    298,559.96x = 67,744,074,787.62
  5. Step 5: Solve for x
    x = 67,744,074,787.62/298,559.96
  6. Step 6: Final answer
    x = 226,902.75

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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.