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Finding the Fourth Proportional to 496,678.62, 745,129 and 181,135.54

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Solution

The fourth proportional to 496,678.62, 745,129 and 181,135.54 is: 271,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,678.62 : 745,129 = 181,135.54 : x
  2. Step 2: Convert to fraction form
    496,678.62/745,129 = 181,135.54/x
  3. Step 3: Cross multiply
    496,678.62x = 745,129 × 181,135.54
  4. Step 4: Simplify right side
    496,678.62x = 134,969,343,784.66
  5. Step 5: Solve for x
    x = 134,969,343,784.66/496,678.62
  6. Step 6: Final answer
    x = 271,743.82

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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.