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Finding the Fourth Proportional to 419,133.42, 628,700.33 and 138,650.67

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Solution

The fourth proportional to 419,133.42, 628,700.33 and 138,650.67 is: 207,976.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,133.42 : 628,700.33 = 138,650.67 : x
  2. Step 2: Convert to fraction form
    419,133.42/628,700.33 = 138,650.67/x
  3. Step 3: Cross multiply
    419,133.42x = 628,700.33 × 138,650.67
  4. Step 4: Simplify right side
    419,133.42x = 87,169,722,330.35
  5. Step 5: Solve for x
    x = 87,169,722,330.35/419,133.42
  6. Step 6: Final answer
    x = 207,976.07

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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.