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Finding the Fourth Proportional to 492,434.22, 738,651.32 and 118,457.22

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Solution

The fourth proportional to 492,434.22, 738,651.32 and 118,457.22 is: 177,685.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,434.22 : 738,651.32 = 118,457.22 : x
  2. Step 2: Convert to fraction form
    492,434.22/738,651.32 = 118,457.22/x
  3. Step 3: Cross multiply
    492,434.22x = 738,651.32 × 118,457.22
  4. Step 4: Simplify right side
    492,434.22x = 87,498,581,916.53
  5. Step 5: Solve for x
    x = 87,498,581,916.53/492,434.22
  6. Step 6: Final answer
    x = 177,685.83

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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.