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Finding the Fourth Proportional to 686,165, 945,725.46 and 456,311.40

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Solution

The fourth proportional to 686,165, 945,725.46 and 456,311.40 is: 628,923.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,165 : 945,725.46 = 456,311.40 : x
  2. Step 2: Convert to fraction form
    686,165/945,725.46 = 456,311.40/x
  3. Step 3: Cross multiply
    686,165x = 945,725.46 × 456,311.40
  4. Step 4: Simplify right side
    686,165x = 431,545,308,668.24
  5. Step 5: Solve for x
    x = 431,545,308,668.24/686,165
  6. Step 6: Final answer
    x = 628,923.52

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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.