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Finding the Fourth Proportional to 407,997.60, 611,996.40 and 378,506.40

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Solution

The fourth proportional to 407,997.60, 611,996.40 and 378,506.40 is: 567,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,997.60 : 611,996.40 = 378,506.40 : x
  2. Step 2: Convert to fraction form
    407,997.60/611,996.40 = 378,506.40/x
  3. Step 3: Cross multiply
    407,997.60x = 611,996.40 × 378,506.40
  4. Step 4: Simplify right side
    407,997.60x = 231,644,554,176.96
  5. Step 5: Solve for x
    x = 231,644,554,176.96/407,997.60
  6. Step 6: Final answer
    x = 567,759.60

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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.