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Finding the Fourth Proportional to 419,906.84, 630,266.16 and 397,148.37

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Solution

The fourth proportional to 419,906.84, 630,266.16 and 397,148.37 is: 596,106.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,906.84 : 630,266.16 = 397,148.37 : x
  2. Step 2: Convert to fraction form
    419,906.84/630,266.16 = 397,148.37/x
  3. Step 3: Cross multiply
    419,906.84x = 630,266.16 × 397,148.37
  4. Step 4: Simplify right side
    419,906.84x = 250,309,177,235.97
  5. Step 5: Solve for x
    x = 250,309,177,235.97/419,906.84
  6. Step 6: Final answer
    x = 596,106.46

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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.