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Finding the Fourth Proportional to 421,674.96, 582,101.46 and 268,918.14

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Solution

The fourth proportional to 421,674.96, 582,101.46 and 268,918.14 is: 371,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,674.96 : 582,101.46 = 268,918.14 : x
  2. Step 2: Convert to fraction form
    421,674.96/582,101.46 = 268,918.14/x
  3. Step 3: Cross multiply
    421,674.96x = 582,101.46 × 268,918.14
  4. Step 4: Simplify right side
    421,674.96x = 156,537,641,914.48
  5. Step 5: Solve for x
    x = 156,537,641,914.48/421,674.96
  6. Step 6: Final answer
    x = 371,228.21

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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.