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Finding the Fourth Proportional to 312,835.20, 469,252.80 and 194,737.20

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Solution

The fourth proportional to 312,835.20, 469,252.80 and 194,737.20 is: 292,105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,835.20 : 469,252.80 = 194,737.20 : x
  2. Step 2: Convert to fraction form
    312,835.20/469,252.80 = 194,737.20/x
  3. Step 3: Cross multiply
    312,835.20x = 469,252.80 × 194,737.20
  4. Step 4: Simplify right side
    312,835.20x = 91,380,976,364.16
  5. Step 5: Solve for x
    x = 91,380,976,364.16/312,835.20
  6. Step 6: Final answer
    x = 292,105.80

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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.