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Finding the Fourth Proportional to 493,511.80, 740,613.30 and 213,230.20

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Solution

The fourth proportional to 493,511.80, 740,613.30 and 213,230.20 is: 319,994.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,511.80 : 740,613.30 = 213,230.20 : x
  2. Step 2: Convert to fraction form
    493,511.80/740,613.30 = 213,230.20/x
  3. Step 3: Cross multiply
    493,511.80x = 740,613.30 × 213,230.20
  4. Step 4: Simplify right side
    493,511.80x = 157,921,122,081.66
  5. Step 5: Solve for x
    x = 157,921,122,081.66/493,511.80
  6. Step 6: Final answer
    x = 319,994.62

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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.