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Finding the Fourth Proportional to 492,674.31, 738,683.31 and 177,090.21

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Solution

The fourth proportional to 492,674.31, 738,683.31 and 177,090.21 is: 265,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,674.31 : 738,683.31 = 177,090.21 : x
  2. Step 2: Convert to fraction form
    492,674.31/738,683.31 = 177,090.21/x
  3. Step 3: Cross multiply
    492,674.31x = 738,683.31 × 177,090.21
  4. Step 4: Simplify right side
    492,674.31x = 130,813,583,155.48
  5. Step 5: Solve for x
    x = 130,813,583,155.48/492,674.31
  6. Step 6: Final answer
    x = 265,517.36

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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.