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Finding the Fourth Proportional to 282,107.60, 396,000.40 and 282,107.60

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Solution

The fourth proportional to 282,107.60, 396,000.40 and 282,107.60 is: 396,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,107.60 : 396,000.40 = 282,107.60 : x
  2. Step 2: Convert to fraction form
    282,107.60/396,000.40 = 282,107.60/x
  3. Step 3: Cross multiply
    282,107.60x = 396,000.40 × 282,107.60
  4. Step 4: Simplify right side
    282,107.60x = 111,714,722,443.04
  5. Step 5: Solve for x
    x = 111,714,722,443.04/282,107.60
  6. Step 6: Final answer
    x = 396,000.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.