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Finding the Fourth Proportional to 492,803.20, 739,204.80 and 118,826.20

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Solution

The fourth proportional to 492,803.20, 739,204.80 and 118,826.20 is: 178,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,803.20 : 739,204.80 = 118,826.20 : x
  2. Step 2: Convert to fraction form
    492,803.20/739,204.80 = 118,826.20/x
  3. Step 3: Cross multiply
    492,803.20x = 739,204.80 × 118,826.20
  4. Step 4: Simplify right side
    492,803.20x = 87,836,897,405.76
  5. Step 5: Solve for x
    x = 87,836,897,405.76/492,803.20
  6. Step 6: Final answer
    x = 178,239.30

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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.