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Finding the Fourth Proportional to 308,232.20, 462,434.70 and 150,465.80

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Solution

The fourth proportional to 308,232.20, 462,434.70 and 150,465.80 is: 225,740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,232.20 : 462,434.70 = 150,465.80 : x
  2. Step 2: Convert to fraction form
    308,232.20/462,434.70 = 150,465.80/x
  3. Step 3: Cross multiply
    308,232.20x = 462,434.70 × 150,465.80
  4. Step 4: Simplify right side
    308,232.20x = 69,580,607,083.26
  5. Step 5: Solve for x
    x = 69,580,607,083.26/308,232.20
  6. Step 6: Final answer
    x = 225,740.88

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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.