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Finding the Fourth Proportional to 285,901.80, 394,538.64 and 176,977.38

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Solution

The fourth proportional to 285,901.80, 394,538.64 and 176,977.38 is: 244,225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,901.80 : 394,538.64 = 176,977.38 : x
  2. Step 2: Convert to fraction form
    285,901.80/394,538.64 = 176,977.38/x
  3. Step 3: Cross multiply
    285,901.80x = 394,538.64 × 176,977.38
  4. Step 4: Simplify right side
    285,901.80x = 69,824,414,815.96
  5. Step 5: Solve for x
    x = 69,824,414,815.96/285,901.80
  6. Step 6: Final answer
    x = 244,225.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.