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Finding the Fourth Proportional to 465,944.97, 697,892.97 and 385,066.29

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Solution

The fourth proportional to 465,944.97, 697,892.97 and 385,066.29 is: 576,752.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,944.97 : 697,892.97 = 385,066.29 : x
  2. Step 2: Convert to fraction form
    465,944.97/697,892.97 = 385,066.29/x
  3. Step 3: Cross multiply
    465,944.97x = 697,892.97 × 385,066.29
  4. Step 4: Simplify right side
    465,944.97x = 268,735,060,836.08
  5. Step 5: Solve for x
    x = 268,735,060,836.08/465,944.97
  6. Step 6: Final answer
    x = 576,752.78

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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.