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Finding the Fourth Proportional to 308,581.84, 462,465.33 and 166,076.92

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Solution

The fourth proportional to 308,581.84, 462,465.33 and 166,076.92 is: 248,896.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,581.84 : 462,465.33 = 166,076.92 : x
  2. Step 2: Convert to fraction form
    308,581.84/462,465.33 = 166,076.92/x
  3. Step 3: Cross multiply
    308,581.84x = 462,465.33 × 166,076.92
  4. Step 4: Simplify right side
    308,581.84x = 76,804,817,613.18
  5. Step 5: Solve for x
    x = 76,804,817,613.18/308,581.84
  6. Step 6: Final answer
    x = 248,896.10

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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.