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Finding the Fourth Proportional to 259,304, 389,021.64 and 72,315.50

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Solution

The fourth proportional to 259,304, 389,021.64 and 72,315.50 is: 108,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,304 : 389,021.64 = 72,315.50 : x
  2. Step 2: Convert to fraction form
    259,304/389,021.64 = 72,315.50/x
  3. Step 3: Cross multiply
    259,304x = 389,021.64 × 72,315.50
  4. Step 4: Simplify right side
    259,304x = 28,132,294,407.42
  5. Step 5: Solve for x
    x = 28,132,294,407.42/259,304
  6. Step 6: Final answer
    x = 108,491.56

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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.