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Finding the Fourth Proportional to 674,138.24, 1,010,959.32 and 274,562

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Solution

The fourth proportional to 674,138.24, 1,010,959.32 and 274,562 is: 411,741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,138.24 : 1,010,959.32 = 274,562 : x
  2. Step 2: Convert to fraction form
    674,138.24/1,010,959.32 = 274,562/x
  3. Step 3: Cross multiply
    674,138.24x = 1,010,959.32 × 274,562
  4. Step 4: Simplify right side
    674,138.24x = 277,571,012,817.84
  5. Step 5: Solve for x
    x = 277,571,012,817.84/674,138.24
  6. Step 6: Final answer
    x = 411,741.98

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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.