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Finding the Fourth Proportional to 647,461.20, 971,191.80 and 423,512.40

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Solution

The fourth proportional to 647,461.20, 971,191.80 and 423,512.40 is: 635,268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,461.20 : 971,191.80 = 423,512.40 : x
  2. Step 2: Convert to fraction form
    647,461.20/971,191.80 = 423,512.40/x
  3. Step 3: Cross multiply
    647,461.20x = 971,191.80 × 423,512.40
  4. Step 4: Simplify right side
    647,461.20x = 411,311,770,078.32
  5. Step 5: Solve for x
    x = 411,311,770,078.32/647,461.20
  6. Step 6: Final answer
    x = 635,268.60

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Similar ratio
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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.