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Finding the Fourth Proportional to 384,237.41, 576,383.78 and 147,580.04

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Solution

The fourth proportional to 384,237.41, 576,383.78 and 147,580.04 is: 221,380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,237.41 : 576,383.78 = 147,580.04 : x
  2. Step 2: Convert to fraction form
    384,237.41/576,383.78 = 147,580.04/x
  3. Step 3: Cross multiply
    384,237.41x = 576,383.78 × 147,580.04
  4. Step 4: Simplify right side
    384,237.41x = 85,062,743,117.66
  5. Step 5: Solve for x
    x = 85,062,743,117.66/384,237.41
  6. Step 6: Final answer
    x = 221,380.69

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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.