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Finding the Fourth Proportional to 384,558.84, 576,933.42 and 159,851.88

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Solution

The fourth proportional to 384,558.84, 576,933.42 and 159,851.88 is: 239,817.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,558.84 : 576,933.42 = 159,851.88 : x
  2. Step 2: Convert to fraction form
    384,558.84/576,933.42 = 159,851.88/x
  3. Step 3: Cross multiply
    384,558.84x = 576,933.42 × 159,851.88
  4. Step 4: Simplify right side
    384,558.84x = 92,223,891,821.83
  5. Step 5: Solve for x
    x = 92,223,891,821.83/384,558.84
  6. Step 6: Final answer
    x = 239,817.38

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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.