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Finding the Fourth Proportional to 686,164, 945,724.08 and 456,310.40

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Solution

The fourth proportional to 686,164, 945,724.08 and 456,310.40 is: 628,922.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,164 : 945,724.08 = 456,310.40 : x
  2. Step 2: Convert to fraction form
    686,164/945,724.08 = 456,310.40/x
  3. Step 3: Cross multiply
    686,164x = 945,724.08 × 456,310.40
  4. Step 4: Simplify right side
    686,164x = 431,543,733,234.43
  5. Step 5: Solve for x
    x = 431,543,733,234.43/686,164
  6. Step 6: Final answer
    x = 628,922.14

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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.