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Finding the Fourth Proportional to 384,015.90, 576,023.85 and 362,243.10

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Solution

The fourth proportional to 384,015.90, 576,023.85 and 362,243.10 is: 543,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,015.90 : 576,023.85 = 362,243.10 : x
  2. Step 2: Convert to fraction form
    384,015.90/576,023.85 = 362,243.10/x
  3. Step 3: Cross multiply
    384,015.90x = 576,023.85 × 362,243.10
  4. Step 4: Simplify right side
    384,015.90x = 208,660,665,097.94
  5. Step 5: Solve for x
    x = 208,660,665,097.94/384,015.90
  6. Step 6: Final answer
    x = 543,364.65

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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.