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Finding the Fourth Proportional to 647,954.20, 971,931.30 and 411,466.60

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Solution

The fourth proportional to 647,954.20, 971,931.30 and 411,466.60 is: 617,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,954.20 : 971,931.30 = 411,466.60 : x
  2. Step 2: Convert to fraction form
    647,954.20/971,931.30 = 411,466.60/x
  3. Step 3: Cross multiply
    647,954.20x = 971,931.30 × 411,466.60
  4. Step 4: Simplify right side
    647,954.20x = 399,917,267,444.58
  5. Step 5: Solve for x
    x = 399,917,267,444.58/647,954.20
  6. Step 6: Final answer
    x = 617,199.90

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Double scale
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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.