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Finding the Fourth Proportional to 328,446.42, 492,450.85 and 118,057.02

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Solution

The fourth proportional to 328,446.42, 492,450.85 and 118,057.02 is: 177,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,446.42 : 492,450.85 = 118,057.02 : x
  2. Step 2: Convert to fraction form
    328,446.42/492,450.85 = 118,057.02/x
  3. Step 3: Cross multiply
    328,446.42x = 492,450.85 × 118,057.02
  4. Step 4: Simplify right side
    328,446.42x = 58,137,279,847.47
  5. Step 5: Solve for x
    x = 58,137,279,847.47/328,446.42
  6. Step 6: Final answer
    x = 177,006.89

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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.