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Finding the Fourth Proportional to 684,860.87, 945,488.09 and 412,997.64

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Solution

The fourth proportional to 684,860.87, 945,488.09 and 412,997.64 is: 570,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,860.87 : 945,488.09 = 412,997.64 : x
  2. Step 2: Convert to fraction form
    684,860.87/945,488.09 = 412,997.64/x
  3. Step 3: Cross multiply
    684,860.87x = 945,488.09 × 412,997.64
  4. Step 4: Simplify right side
    684,860.87x = 390,484,347,305.02
  5. Step 5: Solve for x
    x = 390,484,347,305.02/684,860.87
  6. Step 6: Final answer
    x = 570,165.95

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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.