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Finding the Fourth Proportional to 647,410.20, 971,115.30 and 174,143.40

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Solution

The fourth proportional to 647,410.20, 971,115.30 and 174,143.40 is: 261,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,410.20 : 971,115.30 = 174,143.40 : x
  2. Step 2: Convert to fraction form
    647,410.20/971,115.30 = 174,143.40/x
  3. Step 3: Cross multiply
    647,410.20x = 971,115.30 × 174,143.40
  4. Step 4: Simplify right side
    647,410.20x = 169,113,320,134.02
  5. Step 5: Solve for x
    x = 169,113,320,134.02/647,410.20
  6. Step 6: Final answer
    x = 261,215.10

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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.