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Finding the Fourth Proportional to 492,389.34, 738,584.01 and 118,412.34

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Solution

The fourth proportional to 492,389.34, 738,584.01 and 118,412.34 is: 177,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,389.34 : 738,584.01 = 118,412.34 : x
  2. Step 2: Convert to fraction form
    492,389.34/738,584.01 = 118,412.34/x
  3. Step 3: Cross multiply
    492,389.34x = 738,584.01 × 118,412.34
  4. Step 4: Simplify right side
    492,389.34x = 87,457,460,910.68
  5. Step 5: Solve for x
    x = 87,457,460,910.68/492,389.34
  6. Step 6: Final answer
    x = 177,618.51

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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.