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Finding the Fourth Proportional to 308,270.94, 462,416.16 and 83,630.82

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Solution

The fourth proportional to 308,270.94, 462,416.16 and 83,630.82 is: 125,448.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,270.94 : 462,416.16 = 83,630.82 : x
  2. Step 2: Convert to fraction form
    308,270.94/462,416.16 = 83,630.82/x
  3. Step 3: Cross multiply
    308,270.94x = 462,416.16 × 83,630.82
  4. Step 4: Simplify right side
    308,270.94x = 38,672,242,642.05
  5. Step 5: Solve for x
    x = 38,672,242,642.05/308,270.94
  6. Step 6: Final answer
    x = 125,448.88

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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.