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Finding the Fourth Proportional to 492,804.24, 739,199.88 and 118,824

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Solution

The fourth proportional to 492,804.24, 739,199.88 and 118,824 is: 178,234.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,804.24 : 739,199.88 = 118,824 : x
  2. Step 2: Convert to fraction form
    492,804.24/739,199.88 = 118,824/x
  3. Step 3: Cross multiply
    492,804.24x = 739,199.88 × 118,824
  4. Step 4: Simplify right side
    492,804.24x = 87,834,686,541.12
  5. Step 5: Solve for x
    x = 87,834,686,541.12/492,804.24
  6. Step 6: Final answer
    x = 178,234.44

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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.