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Finding the Fourth Proportional to 350,766.48, 483,942.96 and 214,658.49

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Solution

The fourth proportional to 350,766.48, 483,942.96 and 214,658.49 is: 296,158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,766.48 : 483,942.96 = 214,658.49 : x
  2. Step 2: Convert to fraction form
    350,766.48/483,942.96 = 214,658.49/x
  3. Step 3: Cross multiply
    350,766.48x = 483,942.96 × 214,658.49
  4. Step 4: Simplify right side
    350,766.48x = 103,882,465,039.73
  5. Step 5: Solve for x
    x = 103,882,465,039.73/350,766.48
  6. Step 6: Final answer
    x = 296,158.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.