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Finding the Fourth Proportional to 492,046.40, 738,361.20 and 324,048.35

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Solution

The fourth proportional to 492,046.40, 738,361.20 and 324,048.35 is: 486,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,046.40 : 738,361.20 = 324,048.35 : x
  2. Step 2: Convert to fraction form
    492,046.40/738,361.20 = 324,048.35/x
  3. Step 3: Cross multiply
    492,046.40x = 738,361.20 × 324,048.35
  4. Step 4: Simplify right side
    492,046.40x = 239,264,728,564.02
  5. Step 5: Solve for x
    x = 239,264,728,564.02/492,046.40
  6. Step 6: Final answer
    x = 486,264.56

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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.