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Finding the Fourth Proportional to 456,732.30, 684,114.30 and 378,000.30

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Solution

The fourth proportional to 456,732.30, 684,114.30 and 378,000.30 is: 566,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,732.30 : 684,114.30 = 378,000.30 : x
  2. Step 2: Convert to fraction form
    456,732.30/684,114.30 = 378,000.30/x
  3. Step 3: Cross multiply
    456,732.30x = 684,114.30 × 378,000.30
  4. Step 4: Simplify right side
    456,732.30x = 258,595,410,634.29
  5. Step 5: Solve for x
    x = 258,595,410,634.29/456,732.30
  6. Step 6: Final answer
    x = 566,185.95

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Why These Related Problems?

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