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Finding the Fourth Proportional to 298,364.18, 411,456.37 and 200,468.81

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Solution

The fourth proportional to 298,364.18, 411,456.37 and 200,468.81 is: 276,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,364.18 : 411,456.37 = 200,468.81 : x
  2. Step 2: Convert to fraction form
    298,364.18/411,456.37 = 200,468.81/x
  3. Step 3: Cross multiply
    298,364.18x = 411,456.37 × 200,468.81
  4. Step 4: Simplify right side
    298,364.18x = 82,484,167,514.66
  5. Step 5: Solve for x
    x = 82,484,167,514.66/298,364.18
  6. Step 6: Final answer
    x = 276,454.66

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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.