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Finding the Fourth Proportional to 624,171.82, 862,238.91 and 496,684.30

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Solution

The fourth proportional to 624,171.82, 862,238.91 and 496,684.30 is: 686,126.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,171.82 : 862,238.91 = 496,684.30 : x
  2. Step 2: Convert to fraction form
    624,171.82/862,238.91 = 496,684.30/x
  3. Step 3: Cross multiply
    624,171.82x = 862,238.91 × 496,684.30
  4. Step 4: Simplify right side
    624,171.82x = 428,260,529,446.11
  5. Step 5: Solve for x
    x = 428,260,529,446.11/624,171.82
  6. Step 6: Final answer
    x = 686,126.02

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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.