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Finding the Fourth Proportional to 384,080.40, 576,120.60 and 290,768.40

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Solution

The fourth proportional to 384,080.40, 576,120.60 and 290,768.40 is: 436,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,080.40 : 576,120.60 = 290,768.40 : x
  2. Step 2: Convert to fraction form
    384,080.40/576,120.60 = 290,768.40/x
  3. Step 3: Cross multiply
    384,080.40x = 576,120.60 × 290,768.40
  4. Step 4: Simplify right side
    384,080.40x = 167,517,665,069.04
  5. Step 5: Solve for x
    x = 167,517,665,069.04/384,080.40
  6. Step 6: Final answer
    x = 436,152.60

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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.