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Finding the Fourth Proportional to 282,147.43, 423,339.87 and 175,620.48

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Solution

The fourth proportional to 282,147.43, 423,339.87 and 175,620.48 is: 263,504.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,147.43 : 423,339.87 = 175,620.48 : x
  2. Step 2: Convert to fraction form
    282,147.43/423,339.87 = 175,620.48/x
  3. Step 3: Cross multiply
    282,147.43x = 423,339.87 × 175,620.48
  4. Step 4: Simplify right side
    282,147.43x = 74,347,151,172.54
  5. Step 5: Solve for x
    x = 74,347,151,172.54/282,147.43
  6. Step 6: Final answer
    x = 263,504.62

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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.