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Finding the Fourth Proportional to 284,993.40, 393,294.78 and 177,606.84

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Solution

The fourth proportional to 284,993.40, 393,294.78 and 177,606.84 is: 245,099.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,993.40 : 393,294.78 = 177,606.84 : x
  2. Step 2: Convert to fraction form
    284,993.40/393,294.78 = 177,606.84/x
  3. Step 3: Cross multiply
    284,993.40x = 393,294.78 × 177,606.84
  4. Step 4: Simplify right side
    284,993.40x = 69,851,843,064.30
  5. Step 5: Solve for x
    x = 69,851,843,064.30/284,993.40
  6. Step 6: Final answer
    x = 245,099.86

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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.