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Finding the Fourth Proportional to 362,107.80, 542,816.10 and 282,101.40

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Solution

The fourth proportional to 362,107.80, 542,816.10 and 282,101.40 is: 422,882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,107.80 : 542,816.10 = 282,101.40 : x
  2. Step 2: Convert to fraction form
    362,107.80/542,816.10 = 282,101.40/x
  3. Step 3: Cross multiply
    362,107.80x = 542,816.10 × 282,101.40
  4. Step 4: Simplify right side
    362,107.80x = 153,129,181,752.54
  5. Step 5: Solve for x
    x = 153,129,181,752.54/362,107.80
  6. Step 6: Final answer
    x = 422,882.86

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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.