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Finding the Fourth Proportional to 493,176.72, 739,590.12 and 177,548.88

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Solution

The fourth proportional to 493,176.72, 739,590.12 and 177,548.88 is: 266,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,176.72 : 739,590.12 = 177,548.88 : x
  2. Step 2: Convert to fraction form
    493,176.72/739,590.12 = 177,548.88/x
  3. Step 3: Cross multiply
    493,176.72x = 739,590.12 × 177,548.88
  4. Step 4: Simplify right side
    493,176.72x = 131,313,397,465.07
  5. Step 5: Solve for x
    x = 131,313,397,465.07/493,176.72
  6. Step 6: Final answer
    x = 266,260.33

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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.