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Finding the Fourth Proportional to 343,677.60, 515,516.40 and 184,245.30

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Solution

The fourth proportional to 343,677.60, 515,516.40 and 184,245.30 is: 276,367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,677.60 : 515,516.40 = 184,245.30 : x
  2. Step 2: Convert to fraction form
    343,677.60/515,516.40 = 184,245.30/x
  3. Step 3: Cross multiply
    343,677.60x = 515,516.40 × 184,245.30
  4. Step 4: Simplify right side
    343,677.60x = 94,981,473,772.92
  5. Step 5: Solve for x
    x = 94,981,473,772.92/343,677.60
  6. Step 6: Final answer
    x = 276,367.95

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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.