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Finding the Fourth Proportional to 517,608.80, 775,684.20 and 411,174.80

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Solution

The fourth proportional to 517,608.80, 775,684.20 and 411,174.80 is: 616,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,608.80 : 775,684.20 = 411,174.80 : x
  2. Step 2: Convert to fraction form
    517,608.80/775,684.20 = 411,174.80/x
  3. Step 3: Cross multiply
    517,608.80x = 775,684.20 × 411,174.80
  4. Step 4: Simplify right side
    517,608.80x = 318,941,795,798.16
  5. Step 5: Solve for x
    x = 318,941,795,798.16/517,608.80
  6. Step 6: Final answer
    x = 616,183.10

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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.