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Finding the Fourth Proportional to 308,318.76, 462,475.74 and 158,601

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Solution

The fourth proportional to 308,318.76, 462,475.74 and 158,601 is: 237,900.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,318.76 : 462,475.74 = 158,601 : x
  2. Step 2: Convert to fraction form
    308,318.76/462,475.74 = 158,601/x
  3. Step 3: Cross multiply
    308,318.76x = 462,475.74 × 158,601
  4. Step 4: Simplify right side
    308,318.76x = 73,349,114,839.74
  5. Step 5: Solve for x
    x = 73,349,114,839.74/308,318.76
  6. Step 6: Final answer
    x = 237,900.27

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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.