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Finding the Fourth Proportional to 308,376.42, 462,596.33 and 116,412.54

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Solution

The fourth proportional to 308,376.42, 462,596.33 and 116,412.54 is: 174,630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,376.42 : 462,596.33 = 116,412.54 : x
  2. Step 2: Convert to fraction form
    308,376.42/462,596.33 = 116,412.54/x
  3. Step 3: Cross multiply
    308,376.42x = 462,596.33 × 116,412.54
  4. Step 4: Simplify right side
    308,376.42x = 53,852,013,769.98
  5. Step 5: Solve for x
    x = 53,852,013,769.98/308,376.42
  6. Step 6: Final answer
    x = 174,630.78

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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.