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Finding the Fourth Proportional to 364,499.17, 546,765.23 and 111,761.22

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Solution

The fourth proportional to 364,499.17, 546,765.23 and 111,761.22 is: 167,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,499.17 : 546,765.23 = 111,761.22 : x
  2. Step 2: Convert to fraction form
    364,499.17/546,765.23 = 111,761.22/x
  3. Step 3: Cross multiply
    364,499.17x = 546,765.23 × 111,761.22
  4. Step 4: Simplify right side
    364,499.17x = 61,107,145,865.75
  5. Step 5: Solve for x
    x = 61,107,145,865.75/364,499.17
  6. Step 6: Final answer
    x = 167,646.87

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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.