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Finding the Fourth Proportional to 462,664.40, 693,996.60 and 409,211.60

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Solution

The fourth proportional to 462,664.40, 693,996.60 and 409,211.60 is: 613,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,664.40 : 693,996.60 = 409,211.60 : x
  2. Step 2: Convert to fraction form
    462,664.40/693,996.60 = 409,211.60/x
  3. Step 3: Cross multiply
    462,664.40x = 693,996.60 × 409,211.60
  4. Step 4: Simplify right side
    462,664.40x = 283,991,459,080.56
  5. Step 5: Solve for x
    x = 283,991,459,080.56/462,664.40
  6. Step 6: Final answer
    x = 613,817.40

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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.