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Finding the Fourth Proportional to 329,114.07, 493,672.93 and 92,458.80

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Solution

The fourth proportional to 329,114.07, 493,672.93 and 92,458.80 is: 138,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,114.07 : 493,672.93 = 92,458.80 : x
  2. Step 2: Convert to fraction form
    329,114.07/493,672.93 = 92,458.80/x
  3. Step 3: Cross multiply
    329,114.07x = 493,672.93 × 92,458.80
  4. Step 4: Simplify right side
    329,114.07x = 45,644,406,469.14
  5. Step 5: Solve for x
    x = 45,644,406,469.14/329,114.07
  6. Step 6: Final answer
    x = 138,688.71

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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.