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Finding the Fourth Proportional to 399,779.82, 599,251.77 and 189,166.86

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Solution

The fourth proportional to 399,779.82, 599,251.77 and 189,166.86 is: 283,552.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,779.82 : 599,251.77 = 189,166.86 : x
  2. Step 2: Convert to fraction form
    399,779.82/599,251.77 = 189,166.86/x
  3. Step 3: Cross multiply
    399,779.82x = 599,251.77 × 189,166.86
  4. Step 4: Simplify right side
    399,779.82x = 113,358,575,680.34
  5. Step 5: Solve for x
    x = 113,358,575,680.34/399,779.82
  6. Step 6: Final answer
    x = 283,552.52

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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.