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Finding the Fourth Proportional to 498,926.75, 688,818.00 and 327,144.38

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Solution

The fourth proportional to 498,926.75, 688,818.00 and 327,144.38 is: 451,655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,926.75 : 688,818.00 = 327,144.38 : x
  2. Step 2: Convert to fraction form
    498,926.75/688,818.00 = 327,144.38/x
  3. Step 3: Cross multiply
    498,926.75x = 688,818.00 × 327,144.38
  4. Step 4: Simplify right side
    498,926.75x = 225,342,939,480.15
  5. Step 5: Solve for x
    x = 225,342,939,480.15/498,926.75
  6. Step 6: Final answer
    x = 451,655.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.