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Finding the Fourth Proportional to 363,596.41, 545,212.11 and 211,842.61

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Solution

The fourth proportional to 363,596.41, 545,212.11 and 211,842.61 is: 317,657.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,596.41 : 545,212.11 = 211,842.61 : x
  2. Step 2: Convert to fraction form
    363,596.41/545,212.11 = 211,842.61/x
  3. Step 3: Cross multiply
    363,596.41x = 545,212.11 × 211,842.61
  4. Step 4: Simplify right side
    363,596.41x = 115,499,156,386.01
  5. Step 5: Solve for x
    x = 115,499,156,386.01/363,596.41
  6. Step 6: Final answer
    x = 317,657.58

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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.