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Finding the Fourth Proportional to 411,824.63, 568,329.86 and 230,535.50

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Solution

The fourth proportional to 411,824.63, 568,329.86 and 230,535.50 is: 318,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,824.63 : 568,329.86 = 230,535.50 : x
  2. Step 2: Convert to fraction form
    411,824.63/568,329.86 = 230,535.50/x
  3. Step 3: Cross multiply
    411,824.63x = 568,329.86 × 230,535.50
  4. Step 4: Simplify right side
    411,824.63x = 131,020,206,174.72
  5. Step 5: Solve for x
    x = 131,020,206,174.72/411,824.63
  6. Step 6: Final answer
    x = 318,145.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.