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Finding the Fourth Proportional to 463,211.20, 694,816.80 and 456,212.80

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Solution

The fourth proportional to 463,211.20, 694,816.80 and 456,212.80 is: 684,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,211.20 : 694,816.80 = 456,212.80 : x
  2. Step 2: Convert to fraction form
    463,211.20/694,816.80 = 456,212.80/x
  3. Step 3: Cross multiply
    463,211.20x = 694,816.80 × 456,212.80
  4. Step 4: Simplify right side
    463,211.20x = 316,984,317,815.04
  5. Step 5: Solve for x
    x = 316,984,317,815.04/463,211.20
  6. Step 6: Final answer
    x = 684,319.20

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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.