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Finding the Fourth Proportional to 415,015.80, 622,523.70 and 411,905.40

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Solution

The fourth proportional to 415,015.80, 622,523.70 and 411,905.40 is: 617,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,015.80 : 622,523.70 = 411,905.40 : x
  2. Step 2: Convert to fraction form
    415,015.80/622,523.70 = 411,905.40/x
  3. Step 3: Cross multiply
    415,015.80x = 622,523.70 × 411,905.40
  4. Step 4: Simplify right side
    415,015.80x = 256,420,873,657.98
  5. Step 5: Solve for x
    x = 256,420,873,657.98/415,015.80
  6. Step 6: Final answer
    x = 617,858.10

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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.