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Finding the Fourth Proportional to 384,684.48, 576,954.24 and 104,164.80

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Solution

The fourth proportional to 384,684.48, 576,954.24 and 104,164.80 is: 156,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,684.48 : 576,954.24 = 104,164.80 : x
  2. Step 2: Convert to fraction form
    384,684.48/576,954.24 = 104,164.80/x
  3. Step 3: Cross multiply
    384,684.48x = 576,954.24 × 104,164.80
  4. Step 4: Simplify right side
    384,684.48x = 60,098,323,018.75
  5. Step 5: Solve for x
    x = 60,098,323,018.75/384,684.48
  6. Step 6: Final answer
    x = 156,227.57

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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.