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Finding the Fourth Proportional to 285,895.92, 394,407 and 178,492.44

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Solution

The fourth proportional to 285,895.92, 394,407 and 178,492.44 is: 246,238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,895.92 : 394,407 = 178,492.44 : x
  2. Step 2: Convert to fraction form
    285,895.92/394,407 = 178,492.44/x
  3. Step 3: Cross multiply
    285,895.92x = 394,407 × 178,492.44
  4. Step 4: Simplify right side
    285,895.92x = 70,398,667,783.08
  5. Step 5: Solve for x
    x = 70,398,667,783.08/285,895.92
  6. Step 6: Final answer
    x = 246,238.80

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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.