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Finding the Fourth Proportional to 298,814.12, 412,363.49 and 164,678.12

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Solution

The fourth proportional to 298,814.12, 412,363.49 and 164,678.12 is: 227,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,814.12 : 412,363.49 = 164,678.12 : x
  2. Step 2: Convert to fraction form
    298,814.12/412,363.49 = 164,678.12/x
  3. Step 3: Cross multiply
    298,814.12x = 412,363.49 × 164,678.12
  4. Step 4: Simplify right side
    298,814.12x = 67,907,241,404.63
  5. Step 5: Solve for x
    x = 67,907,241,404.63/298,814.12
  6. Step 6: Final answer
    x = 227,255.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.