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Finding the Fourth Proportional to 384,086.56, 576,140.37 and 103,603

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Solution

The fourth proportional to 384,086.56, 576,140.37 and 103,603 is: 155,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,086.56 : 576,140.37 = 103,603 : x
  2. Step 2: Convert to fraction form
    384,086.56/576,140.37 = 103,603/x
  3. Step 3: Cross multiply
    384,086.56x = 576,140.37 × 103,603
  4. Step 4: Simplify right side
    384,086.56x = 59,689,870,753.11
  5. Step 5: Solve for x
    x = 59,689,870,753.11/384,086.56
  6. Step 6: Final answer
    x = 155,407.34

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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.