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Finding the Fourth Proportional to 465,051.68, 641,792.40 and 274,073.12

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Solution

The fourth proportional to 465,051.68, 641,792.40 and 274,073.12 is: 378,233.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,051.68 : 641,792.40 = 274,073.12 : x
  2. Step 2: Convert to fraction form
    465,051.68/641,792.40 = 274,073.12/x
  3. Step 3: Cross multiply
    465,051.68x = 641,792.40 × 274,073.12
  4. Step 4: Simplify right side
    465,051.68x = 175,898,045,460.29
  5. Step 5: Solve for x
    x = 175,898,045,460.29/465,051.68
  6. Step 6: Final answer
    x = 378,233.33

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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.