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Finding the Fourth Proportional to 399,498.12, 599,333.58 and 119,037.96

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Solution

The fourth proportional to 399,498.12, 599,333.58 and 119,037.96 is: 178,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,498.12 : 599,333.58 = 119,037.96 : x
  2. Step 2: Convert to fraction form
    399,498.12/599,333.58 = 119,037.96/x
  3. Step 3: Cross multiply
    399,498.12x = 599,333.58 × 119,037.96
  4. Step 4: Simplify right side
    399,498.12x = 71,343,446,722.70
  5. Step 5: Solve for x
    x = 71,343,446,722.70/399,498.12
  6. Step 6: Final answer
    x = 178,582.68

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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.