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Finding the Fourth Proportional to 284,119.20, 426,178.80 and 165,729.60

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Solution

The fourth proportional to 284,119.20, 426,178.80 and 165,729.60 is: 248,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,119.20 : 426,178.80 = 165,729.60 : x
  2. Step 2: Convert to fraction form
    284,119.20/426,178.80 = 165,729.60/x
  3. Step 3: Cross multiply
    284,119.20x = 426,178.80 × 165,729.60
  4. Step 4: Simplify right side
    284,119.20x = 70,630,442,052.48
  5. Step 5: Solve for x
    x = 70,630,442,052.48/284,119.20
  6. Step 6: Final answer
    x = 248,594.40

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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.