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Finding the Fourth Proportional to 384,100.56, 576,161.46 and 103,617

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Solution

The fourth proportional to 384,100.56, 576,161.46 and 103,617 is: 155,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,100.56 : 576,161.46 = 103,617 : x
  2. Step 2: Convert to fraction form
    384,100.56/576,161.46 = 103,617/x
  3. Step 3: Cross multiply
    384,100.56x = 576,161.46 × 103,617
  4. Step 4: Simplify right side
    384,100.56x = 59,700,122,000.82
  5. Step 5: Solve for x
    x = 59,700,122,000.82/384,100.56
  6. Step 6: Final answer
    x = 155,428.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.