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Finding the Fourth Proportional to 318,824.84, 478,266.60 and 82,168.40

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Solution

The fourth proportional to 318,824.84, 478,266.60 and 82,168.40 is: 123,260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,824.84 : 478,266.60 = 82,168.40 : x
  2. Step 2: Convert to fraction form
    318,824.84/478,266.60 = 82,168.40/x
  3. Step 3: Cross multiply
    318,824.84x = 478,266.60 × 82,168.40
  4. Step 4: Simplify right side
    318,824.84x = 39,298,401,295.44
  5. Step 5: Solve for x
    x = 39,298,401,295.44/318,824.84
  6. Step 6: Final answer
    x = 123,260.16

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1.5x scale

Why These Related Problems?

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