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Finding the Fourth Proportional to 326,561.14, 489,317.10 and 274,073.14

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Solution

The fourth proportional to 326,561.14, 489,317.10 and 274,073.14 is: 410,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,561.14 : 489,317.10 = 274,073.14 : x
  2. Step 2: Convert to fraction form
    326,561.14/489,317.10 = 274,073.14/x
  3. Step 3: Cross multiply
    326,561.14x = 489,317.10 × 274,073.14
  4. Step 4: Simplify right side
    326,561.14x = 134,108,674,052.69
  5. Step 5: Solve for x
    x = 134,108,674,052.69/326,561.14
  6. Step 6: Final answer
    x = 410,669.42

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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.