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Finding the Fourth Proportional to 404,412, 606,565.11 and 120,096.73

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Solution

The fourth proportional to 404,412, 606,565.11 and 120,096.73 is: 180,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,412 : 606,565.11 = 120,096.73 : x
  2. Step 2: Convert to fraction form
    404,412/606,565.11 = 120,096.73/x
  3. Step 3: Cross multiply
    404,412x = 606,565.11 × 120,096.73
  4. Step 4: Simplify right side
    404,412x = 72,846,486,243.09
  5. Step 5: Solve for x
    x = 72,846,486,243.09/404,412
  6. Step 6: Final answer
    x = 180,129.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.