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Finding the Fourth Proportional to 463,213.70, 694,820.55 and 456,215.30

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Solution

The fourth proportional to 463,213.70, 694,820.55 and 456,215.30 is: 684,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,213.70 : 694,820.55 = 456,215.30 : x
  2. Step 2: Convert to fraction form
    463,213.70/694,820.55 = 456,215.30/x
  3. Step 3: Cross multiply
    463,213.70x = 694,820.55 × 456,215.30
  4. Step 4: Simplify right side
    463,213.70x = 316,987,765,664.42
  5. Step 5: Solve for x
    x = 316,987,765,664.42/463,213.70
  6. Step 6: Final answer
    x = 684,322.95

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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.