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Finding the Fourth Proportional to 684,997.20, 945,676.17 and 413,133.66

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Solution

The fourth proportional to 684,997.20, 945,676.17 and 413,133.66 is: 570,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,997.20 : 945,676.17 = 413,133.66 : x
  2. Step 2: Convert to fraction form
    684,997.20/945,676.17 = 413,133.66/x
  3. Step 3: Cross multiply
    684,997.20x = 945,676.17 × 413,133.66
  4. Step 4: Simplify right side
    684,997.20x = 390,690,657,286.88
  5. Step 5: Solve for x
    x = 390,690,657,286.88/684,997.20
  6. Step 6: Final answer
    x = 570,353.66

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