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Finding the Fourth Proportional to 264,338.34, 364,976.38 and 162,500.28

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Solution

The fourth proportional to 264,338.34, 364,976.38 and 162,500.28 is: 224,366.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,338.34 : 364,976.38 = 162,500.28 : x
  2. Step 2: Convert to fraction form
    264,338.34/364,976.38 = 162,500.28/x
  3. Step 3: Cross multiply
    264,338.34x = 364,976.38 × 162,500.28
  4. Step 4: Simplify right side
    264,338.34x = 59,308,762,777.85
  5. Step 5: Solve for x
    x = 59,308,762,777.85/264,338.34
  6. Step 6: Final answer
    x = 224,366.86

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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.