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Finding the Fourth Proportional to 642,232.40, 962,311.80 and 405,150.80

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Solution

The fourth proportional to 642,232.40, 962,311.80 and 405,150.80 is: 607,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,232.40 : 962,311.80 = 405,150.80 : x
  2. Step 2: Convert to fraction form
    642,232.40/962,311.80 = 405,150.80/x
  3. Step 3: Cross multiply
    642,232.40x = 962,311.80 × 405,150.80
  4. Step 4: Simplify right side
    642,232.40x = 389,881,395,619.44
  5. Step 5: Solve for x
    x = 389,881,395,619.44/642,232.40
  6. Step 6: Final answer
    x = 607,072.14

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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.