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Finding the Fourth Proportional to 208,244.91, 312,364.59 and 50,474.73

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Solution

The fourth proportional to 208,244.91, 312,364.59 and 50,474.73 is: 75,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,244.91 : 312,364.59 = 50,474.73 : x
  2. Step 2: Convert to fraction form
    208,244.91/312,364.59 = 50,474.73/x
  3. Step 3: Cross multiply
    208,244.91x = 312,364.59 × 50,474.73
  4. Step 4: Simplify right side
    208,244.91x = 15,766,518,341.81
  5. Step 5: Solve for x
    x = 15,766,518,341.81/208,244.91
  6. Step 6: Final answer
    x = 75,711.42

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1.5x scale

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.