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Finding the Fourth Proportional to 686,187.96, 945,757.14 and 456,334.44

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Solution

The fourth proportional to 686,187.96, 945,757.14 and 456,334.44 is: 628,955.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,187.96 : 945,757.14 = 456,334.44 : x
  2. Step 2: Convert to fraction form
    686,187.96/945,757.14 = 456,334.44/x
  3. Step 3: Cross multiply
    686,187.96x = 945,757.14 × 456,334.44
  4. Step 4: Simplify right side
    686,187.96x = 431,581,554,857.90
  5. Step 5: Solve for x
    x = 431,581,554,857.90/686,187.96
  6. Step 6: Final answer
    x = 628,955.30

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1.5x scale

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.