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Finding the Fourth Proportional to 308,270, 462,405 and 86,654

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Solution

The fourth proportional to 308,270, 462,405 and 86,654 is: 129,981

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,270 : 462,405 = 86,654 : x
  2. Step 2: Convert to fraction form
    308,270/462,405 = 86,654/x
  3. Step 3: Cross multiply
    308,270x = 462,405 × 86,654
  4. Step 4: Simplify right side
    308,270x = 40,069,242,870
  5. Step 5: Solve for x
    x = 40,069,242,870/308,270
  6. Step 6: Final answer
    x = 129,981

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.