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Finding the Fourth Proportional to 492,454.92, 738,682.42 and 118,477.92

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Solution

The fourth proportional to 492,454.92, 738,682.42 and 118,477.92 is: 177,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,454.92 : 738,682.42 = 118,477.92 : x
  2. Step 2: Convert to fraction form
    492,454.92/738,682.42 = 118,477.92/x
  3. Step 3: Cross multiply
    492,454.92x = 738,682.42 × 118,477.92
  4. Step 4: Simplify right side
    492,454.92x = 87,517,556,662.17
  5. Step 5: Solve for x
    x = 87,517,556,662.17/492,454.92
  6. Step 6: Final answer
    x = 177,716.89

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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.