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Finding the Fourth Proportional to 333,106.42, 499,654.96 and 80,384.80

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Solution

The fourth proportional to 333,106.42, 499,654.96 and 80,384.80 is: 120,576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,106.42 : 499,654.96 = 80,384.80 : x
  2. Step 2: Convert to fraction form
    333,106.42/499,654.96 = 80,384.80/x
  3. Step 3: Cross multiply
    333,106.42x = 499,654.96 × 80,384.80
  4. Step 4: Simplify right side
    333,106.42x = 40,164,664,028.61
  5. Step 5: Solve for x
    x = 40,164,664,028.61/333,106.42
  6. Step 6: Final answer
    x = 120,576.07

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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.