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Finding the Fourth Proportional to 256,827.20, 385,701.60 and 186,785.60

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Solution

The fourth proportional to 256,827.20, 385,701.60 and 186,785.60 is: 280,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,827.20 : 385,701.60 = 186,785.60 : x
  2. Step 2: Convert to fraction form
    256,827.20/385,701.60 = 186,785.60/x
  3. Step 3: Cross multiply
    256,827.20x = 385,701.60 × 186,785.60
  4. Step 4: Simplify right side
    256,827.20x = 72,043,504,776.96
  5. Step 5: Solve for x
    x = 72,043,504,776.96/256,827.20
  6. Step 6: Final answer
    x = 280,513.53

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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.