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Finding the Fourth Proportional to 431,421.48, 595,517.94 and 261,651.96

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Solution

The fourth proportional to 431,421.48, 595,517.94 and 261,651.96 is: 361,174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,421.48 : 595,517.94 = 261,651.96 : x
  2. Step 2: Convert to fraction form
    431,421.48/595,517.94 = 261,651.96/x
  3. Step 3: Cross multiply
    431,421.48x = 595,517.94 × 261,651.96
  4. Step 4: Simplify right side
    431,421.48x = 155,818,436,216.16
  5. Step 5: Solve for x
    x = 155,818,436,216.16/431,421.48
  6. Step 6: Final answer
    x = 361,174.50

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Why These Related Problems?

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