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Finding the Fourth Proportional to 204,416, 306,624 and 56,672

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Solution

The fourth proportional to 204,416, 306,624 and 56,672 is: 85,008

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,416 : 306,624 = 56,672 : x
  2. Step 2: Convert to fraction form
    204,416/306,624 = 56,672/x
  3. Step 3: Cross multiply
    204,416x = 306,624 × 56,672
  4. Step 4: Simplify right side
    204,416x = 17,376,995,328
  5. Step 5: Solve for x
    x = 17,376,995,328/204,416
  6. Step 6: Final answer
    x = 85,008

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.