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Finding the Fourth Proportional to 333,635.50, 499,197.66 and 233,990.20

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Solution

The fourth proportional to 333,635.50, 499,197.66 and 233,990.20 is: 350,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,635.50 : 499,197.66 = 233,990.20 : x
  2. Step 2: Convert to fraction form
    333,635.50/499,197.66 = 233,990.20/x
  3. Step 3: Cross multiply
    333,635.50x = 499,197.66 × 233,990.20
  4. Step 4: Simplify right side
    333,635.50x = 116,807,360,302.93
  5. Step 5: Solve for x
    x = 116,807,360,302.93/333,635.50
  6. Step 6: Final answer
    x = 350,104.71

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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.