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Finding the Fourth Proportional to 493,102.08, 739,523.52 and 177,500.16

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Solution

The fourth proportional to 493,102.08, 739,523.52 and 177,500.16 is: 266,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,102.08 : 739,523.52 = 177,500.16 : x
  2. Step 2: Convert to fraction form
    493,102.08/739,523.52 = 177,500.16/x
  3. Step 3: Cross multiply
    493,102.08x = 739,523.52 × 177,500.16
  4. Step 4: Simplify right side
    493,102.08x = 131,265,543,123.76
  5. Step 5: Solve for x
    x = 131,265,543,123.76/493,102.08
  6. Step 6: Final answer
    x = 266,203.59

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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.