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Finding the Fourth Proportional to 308,962.20, 462,665.70 and 203,208.60

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Solution

The fourth proportional to 308,962.20, 462,665.70 and 203,208.60 is: 304,301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,962.20 : 462,665.70 = 203,208.60 : x
  2. Step 2: Convert to fraction form
    308,962.20/462,665.70 = 203,208.60/x
  3. Step 3: Cross multiply
    308,962.20x = 462,665.70 × 203,208.60
  4. Step 4: Simplify right side
    308,962.20x = 94,017,649,165.02
  5. Step 5: Solve for x
    x = 94,017,649,165.02/308,962.20
  6. Step 6: Final answer
    x = 304,301.46

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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.