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Finding the Fourth Proportional to 295,262.96, 407,462.92 and 182,151.44

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Solution

The fourth proportional to 295,262.96, 407,462.92 and 182,151.44 is: 251,369.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,262.96 : 407,462.92 = 182,151.44 : x
  2. Step 2: Convert to fraction form
    295,262.96/407,462.92 = 182,151.44/x
  3. Step 3: Cross multiply
    295,262.96x = 407,462.92 × 182,151.44
  4. Step 4: Simplify right side
    295,262.96x = 74,219,957,624.60
  5. Step 5: Solve for x
    x = 74,219,957,624.60/295,262.96
  6. Step 6: Final answer
    x = 251,369.01

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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.