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Finding the Fourth Proportional to 495,797.09, 684,198.09 and 280,978.22

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Solution

The fourth proportional to 495,797.09, 684,198.09 and 280,978.22 is: 387,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,797.09 : 684,198.09 = 280,978.22 : x
  2. Step 2: Convert to fraction form
    495,797.09/684,198.09 = 280,978.22/x
  3. Step 3: Cross multiply
    495,797.09x = 684,198.09 × 280,978.22
  4. Step 4: Simplify right side
    495,797.09x = 192,244,761,455.60
  5. Step 5: Solve for x
    x = 192,244,761,455.60/495,797.09
  6. Step 6: Final answer
    x = 387,748.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.