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Finding the Fourth Proportional to 459,838.20, 689,394.42 and 193,639.80

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Solution

The fourth proportional to 459,838.20, 689,394.42 and 193,639.80 is: 290,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,838.20 : 689,394.42 = 193,639.80 : x
  2. Step 2: Convert to fraction form
    459,838.20/689,394.42 = 193,639.80/x
  3. Step 3: Cross multiply
    459,838.20x = 689,394.42 × 193,639.80
  4. Step 4: Simplify right side
    459,838.20x = 133,494,197,609.92
  5. Step 5: Solve for x
    x = 133,494,197,609.92/459,838.20
  6. Step 6: Final answer
    x = 290,306.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.