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Finding the Fourth Proportional to 412,849.80, 619,274.70 and 398,415.60

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Solution

The fourth proportional to 412,849.80, 619,274.70 and 398,415.60 is: 597,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,849.80 : 619,274.70 = 398,415.60 : x
  2. Step 2: Convert to fraction form
    412,849.80/619,274.70 = 398,415.60/x
  3. Step 3: Cross multiply
    412,849.80x = 619,274.70 × 398,415.60
  4. Step 4: Simplify right side
    412,849.80x = 246,728,701,165.32
  5. Step 5: Solve for x
    x = 246,728,701,165.32/412,849.80
  6. Step 6: Final answer
    x = 597,623.40

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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.