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Finding the Fourth Proportional to 378,541.08, 566,630.64 and 278,813.88

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Solution

The fourth proportional to 378,541.08, 566,630.64 and 278,813.88 is: 417,350.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,541.08 : 566,630.64 = 278,813.88 : x
  2. Step 2: Convert to fraction form
    378,541.08/566,630.64 = 278,813.88/x
  3. Step 3: Cross multiply
    378,541.08x = 566,630.64 × 278,813.88
  4. Step 4: Simplify right side
    378,541.08x = 157,984,487,265.28
  5. Step 5: Solve for x
    x = 157,984,487,265.28/378,541.08
  6. Step 6: Final answer
    x = 417,350.97

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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.