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Finding the Fourth Proportional to 404,734.86, 606,996.45 and 120,348.86

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Solution

The fourth proportional to 404,734.86, 606,996.45 and 120,348.86 is: 180,491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,734.86 : 606,996.45 = 120,348.86 : x
  2. Step 2: Convert to fraction form
    404,734.86/606,996.45 = 120,348.86/x
  3. Step 3: Cross multiply
    404,734.86x = 606,996.45 × 120,348.86
  4. Step 4: Simplify right side
    404,734.86x = 73,051,327,746.56
  5. Step 5: Solve for x
    x = 73,051,327,746.56/404,734.86
  6. Step 6: Final answer
    x = 180,491.81

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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.