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Finding the Fourth Proportional to 298,120.87, 411,314.76 and 181,858.91

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Solution

The fourth proportional to 298,120.87, 411,314.76 and 181,858.91 is: 250,909.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,120.87 : 411,314.76 = 181,858.91 : x
  2. Step 2: Convert to fraction form
    298,120.87/411,314.76 = 181,858.91/x
  3. Step 3: Cross multiply
    298,120.87x = 411,314.76 × 181,858.91
  4. Step 4: Simplify right side
    298,120.87x = 74,801,251,863.94
  5. Step 5: Solve for x
    x = 74,801,251,863.94/298,120.87
  6. Step 6: Final answer
    x = 250,909.14

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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.