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Finding the Fourth Proportional to 282,674.28, 424,025.94 and 72,314.04

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Solution

The fourth proportional to 282,674.28, 424,025.94 and 72,314.04 is: 108,474.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,674.28 : 424,025.94 = 72,314.04 : x
  2. Step 2: Convert to fraction form
    282,674.28/424,025.94 = 72,314.04/x
  3. Step 3: Cross multiply
    282,674.28x = 424,025.94 × 72,314.04
  4. Step 4: Simplify right side
    282,674.28x = 30,663,028,786.20
  5. Step 5: Solve for x
    x = 30,663,028,786.20/282,674.28
  6. Step 6: Final answer
    x = 108,474.77

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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.