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Finding the Fourth Proportional to 364,201.86, 546,367.35 and 111,476.76

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Solution

The fourth proportional to 364,201.86, 546,367.35 and 111,476.76 is: 167,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,201.86 : 546,367.35 = 111,476.76 : x
  2. Step 2: Convert to fraction form
    364,201.86/546,367.35 = 111,476.76/x
  3. Step 3: Cross multiply
    364,201.86x = 546,367.35 × 111,476.76
  4. Step 4: Simplify right side
    364,201.86x = 60,907,261,947.79
  5. Step 5: Solve for x
    x = 60,907,261,947.79/364,201.86
  6. Step 6: Final answer
    x = 167,234.90

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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.