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Finding the Fourth Proportional to 492,272.12, 738,408.10 and 118,295.12

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Solution

The fourth proportional to 492,272.12, 738,408.10 and 118,295.12 is: 177,442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,272.12 : 738,408.10 = 118,295.12 : x
  2. Step 2: Convert to fraction form
    492,272.12/738,408.10 = 118,295.12/x
  3. Step 3: Cross multiply
    492,272.12x = 738,408.10 × 118,295.12
  4. Step 4: Simplify right side
    492,272.12x = 87,350,074,798.47
  5. Step 5: Solve for x
    x = 87,350,074,798.47/492,272.12
  6. Step 6: Final answer
    x = 177,442.66

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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.