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Finding the Fourth Proportional to 492,518.71, 738,778.27 and 118,541.71

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Solution

The fourth proportional to 492,518.71, 738,778.27 and 118,541.71 is: 177,812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,518.71 : 738,778.27 = 118,541.71 : x
  2. Step 2: Convert to fraction form
    492,518.71/738,778.27 = 118,541.71/x
  3. Step 3: Cross multiply
    492,518.71x = 738,778.27 × 118,541.71
  4. Step 4: Simplify right side
    492,518.71x = 87,576,039,436.64
  5. Step 5: Solve for x
    x = 87,576,039,436.64/492,518.71
  6. Step 6: Final answer
    x = 177,812.61

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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.