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Finding the Fourth Proportional to 284,191.20, 426,286.80 and 165,801.60

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Solution

The fourth proportional to 284,191.20, 426,286.80 and 165,801.60 is: 248,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,191.20 : 426,286.80 = 165,801.60 : x
  2. Step 2: Convert to fraction form
    284,191.20/426,286.80 = 165,801.60/x
  3. Step 3: Cross multiply
    284,191.20x = 426,286.80 × 165,801.60
  4. Step 4: Simplify right side
    284,191.20x = 70,679,033,498.88
  5. Step 5: Solve for x
    x = 70,679,033,498.88/284,191.20
  6. Step 6: Final answer
    x = 248,702.40

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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.