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Finding the Fourth Proportional to 384,548.49, 576,591.80 and 159,637.41

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Solution

The fourth proportional to 384,548.49, 576,591.80 and 159,637.41 is: 239,360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,548.49 : 576,591.80 = 159,637.41 : x
  2. Step 2: Convert to fraction form
    384,548.49/576,591.80 = 159,637.41/x
  3. Step 3: Cross multiply
    384,548.49x = 576,591.80 × 159,637.41
  4. Step 4: Simplify right side
    384,548.49x = 92,045,620,781.05
  5. Step 5: Solve for x
    x = 92,045,620,781.05/384,548.49
  6. Step 6: Final answer
    x = 239,360.25

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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.