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Finding the Fourth Proportional to 468,735.44, 703,136.27 and 232,014.56

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Solution

The fourth proportional to 468,735.44, 703,136.27 and 232,014.56 is: 348,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,735.44 : 703,136.27 = 232,014.56 : x
  2. Step 2: Convert to fraction form
    468,735.44/703,136.27 = 232,014.56/x
  3. Step 3: Cross multiply
    468,735.44x = 703,136.27 × 232,014.56
  4. Step 4: Simplify right side
    468,735.44x = 163,137,847,628.34
  5. Step 5: Solve for x
    x = 163,137,847,628.34/468,735.44
  6. Step 6: Final answer
    x = 348,038.22

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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.