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Finding the Fourth Proportional to 384,280.41, 576,772.17 and 194,871.51

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Solution

The fourth proportional to 384,280.41, 576,772.17 and 194,871.51 is: 292,485.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,280.41 : 576,772.17 = 194,871.51 : x
  2. Step 2: Convert to fraction form
    384,280.41/576,772.17 = 194,871.51/x
  3. Step 3: Cross multiply
    384,280.41x = 576,772.17 × 194,871.51
  4. Step 4: Simplify right side
    384,280.41x = 112,396,463,693.88
  5. Step 5: Solve for x
    x = 112,396,463,693.88/384,280.41
  6. Step 6: Final answer
    x = 292,485.54

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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.