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Finding the Fourth Proportional to 384,026.40, 576,039.60 and 362,253.60

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Solution

The fourth proportional to 384,026.40, 576,039.60 and 362,253.60 is: 543,380.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,026.40 : 576,039.60 = 362,253.60 : x
  2. Step 2: Convert to fraction form
    384,026.40/576,039.60 = 362,253.60/x
  3. Step 3: Cross multiply
    384,026.40x = 576,039.60 × 362,253.60
  4. Step 4: Simplify right side
    384,026.40x = 208,672,418,842.56
  5. Step 5: Solve for x
    x = 208,672,418,842.56/384,026.40
  6. Step 6: Final answer
    x = 543,380.40

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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.