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Finding the Fourth Proportional to 492,854.24, 739,274.88 and 118,874.24

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Solution

The fourth proportional to 492,854.24, 739,274.88 and 118,874.24 is: 178,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,854.24 : 739,274.88 = 118,874.24 : x
  2. Step 2: Convert to fraction form
    492,854.24/739,274.88 = 118,874.24/x
  3. Step 3: Cross multiply
    492,854.24x = 739,274.88 × 118,874.24
  4. Step 4: Simplify right side
    492,854.24x = 87,880,739,511.09
  5. Step 5: Solve for x
    x = 87,880,739,511.09/492,854.24
  6. Step 6: Final answer
    x = 178,309.80

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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.