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Finding the Fourth Proportional to 284,885.39, 393,098.16 and 164,003.32

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Solution

The fourth proportional to 284,885.39, 393,098.16 and 164,003.32 is: 226,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,885.39 : 393,098.16 = 164,003.32 : x
  2. Step 2: Convert to fraction form
    284,885.39/393,098.16 = 164,003.32/x
  3. Step 3: Cross multiply
    284,885.39x = 393,098.16 × 164,003.32
  4. Step 4: Simplify right side
    284,885.39x = 64,469,403,325.89
  5. Step 5: Solve for x
    x = 64,469,403,325.89/284,885.39
  6. Step 6: Final answer
    x = 226,299.44

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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.